AU1690000A

AU1690000A - Three-dimensional image sensing device and method, three-dimensional image displaying device and method, and three-dimensional image position changing device and method

Info

Publication number: AU1690000A
Application number: AU16900/00A
Authority: AU
Inventors: Hideyoshi Horimai; Masaharu Kinoshita
Original assignee: Optware Corp
Current assignee: Optware Corp
Priority date: 1999-01-06
Filing date: 1999-12-20
Publication date: 2000-07-24
Anticipated expiration: 2019-12-20
Also published as: EA200100622A1; US6970187B1; EP1150518A1; US20080204549A1; CN1338184A; EP2051534A1; EP1150518B1; HK1042619A1; CA2356001A1; US20050259159A1; US7327389B2; AU759891B2; KR20010093245A; EP2051534A8; DE69940442D1; US8068131B2; EP2051534B1; WO2000041399A1; EP1150518A4; EA003495B1

Description

DESCRIPTION APPARATUS AND METHOD FOR PHOTOGRAPHING THREE-DIMENSIONAL IMAGE, APPARATUS AND METHOD FOR DISPLAYING THREE-DIMENSIONAL IMAGE, AND 5 APPARATUS AND METHOD FOR CONVERTING THREE-DIMENSIONAL IMAGE DISPLAY POSITION TECHNICAL FIELD The present invention relates to an apparatus and method 10 for photographing a three-dimensional image for acquiring image information required for displaying a three-dimensional image (stereoscopic image) of an object in a space, and an apparatus and method for displaying a three-dimensional image to display a three-dimensional image of an object in a space by projecting 15 a plurality of pieces of two-dimensional image information of an object obtained by viewing the object in different viewing directions, in directions associated with the respective viewing directions. The present invention also relates to an apparatus and method for converting a display position of a three 20 dimensional image which is used in a system for displaying a three-dimensional image of an object in a space by projecting a plurality of pieces of two-dimensional image information on the object obtained by viewing the object in different viewing directions, in directions associated with the respective viewing 25 directions, and which convert the position of the three dimensional image of the object displayed in the space.

2 BACKGROUND ART Various proposals have recently been made on techniques for displaying a stereoscopic image as a result of the progress 5 of optical technologies. One of such techniques is two-glass type three-dimensional viewers such as IMAX THEATER (trademark) capable of presenting stereoscopic display to a user who wears dedicated eyeglasses to see an image formed by an image for the left eye and an image for the right eye in an overlapping 10 relationship. This apparatus enables to present stereoscopic display in the form of a stereogram utilizing parallax between left and right eyes. Stereoscopic display is also performed with holography utilizing coherent light from a laser or the like. This technique 15 is to display a stereoscopic image by forming a hologram on a dry plate or the like using object light and reference light in advance and by irradiating the hologram with the original reference light to obtain reproduction light. Techniques for displaying a stereoscopic image without any 20 need for dedicated eyeglasses include the so-called IP (integral photography) method, and the parallax method. The IP method was proposed by Lippmann. A photographic dry plate is provided on a focal surface of a lens plate called "fly-eye lens" constituted by a multiplicity of small convex lenses; the photographic dry plate is exposed to object light through the lens pate to record a multiplicity of small object images thereon; ) * 3 and the photographic dry plate is thereafter developed, placed in exactly the same position as its initial position and irradiated with light on the back surface thereof. The parallax method is a method in which strip- shaped images 5 respectively associated with left and right eyes are separately viewed through apertures in the form of vertical grills placed in front of the strip-shaped images. Among the above techniques, the above-described stereoscopic viewers are inconvenient for a viewer because he or 10 she must wear dedicated eyeglasses and are not suitable for observation for a long time because they present unnatural images which are likely to give fatigue. The above-described technique for presenting stereoscopic display utilizing holography involves a large scale apparatus at 15 a high manufacturing cost because of the requirement for coherent light from a laser or the like and also results in a reduction of image quality attributable to speckle interference patterns which are characteristic of lasers. Further, holography is suitable for still images but unsuitable for three-dimensional 20 display of dynamic images because it presents stereoscopic display of an object utilizing a hologram formed on a photographic dry plate in advance. This equally applies to the above-described IP method in that it is unsuitable for dynamic images because it involves a step of recording a multiplicity of small object images on a photographic dry plate in advance. The parallax method that requires no dedicated eyeglasses 4 only presents pseudo-stereoscopic display utilizing parallax between left and right eyes and does not allow three-dimensional display in a true sense. Therefore, although an image can be represented with a stereoscopic sense in the horizontal direction 5 of a screen, it cannot be represented with a stereoscopic sense in the vertical direction and, for example, cannot be viewed by a person who is lying down. Further, since it is a technique utilizing parallax, a change of a view point only results in a view of the same image with a stereographic sense (a sense of depth) , 10 and a side of an object will not appear even if the viewer moves the head to look at the object from left and right sides thereof. Further, in order to implement the parallax method, an object must be photographed in different directions with a plurality of cameras; the films photographed by the cameras must 15 be developed; and the films must be printed on photographic paper through apertures with a plurality of image projectors to form strip-shaped images. Therefore, a large scale apparatus is required to implement the parallax method. As thus described, according to conventional techniques 20 it is difficult to achieve display of a stereoscopic dynamic image in a true sense with a simple configuration. Any of the conventional techniques for stereoscopic display only allows a three-dimensional image to be displayed in a predetermined position. Therefore, the conventional techniques for stereoscopic display have low rendering capability in that it is difficult to achieve a representation in which a 5 three-dimensional image is moved toward or away from the viewer, for example. DISCLOSURE OF THE INVENTION 5 The present invention has been made taking such problems into consideration, and it is a first object of the invention to provide an apparatus and method for photographing a three dimensional image and an apparatus and method for displaying a three-dimensional image which make it possible to acquire image 10 information required for displaying a three-dimensional image of an object in a space with a simple configuration and to achieve display of a stereoscopic dynamic image in a true sense with a simple configuration. It is a second object of the invention to provide an 15 apparatus and method for converting the display position of a three-dimensional image which make it possible to convert the position of a three-dimensional image of an object displayed in a space in a system for displaying a three-dimensional image of an object in a space. 20 A first three-dimensional image photographing apparatus of the invention is to acquire image information required for displaying a three-dimensional image of an object in a space. The apparatus has: a single photographing means for photographing an object to generate two-dimensional image information of the 25 ob), ect; and photographing direction control means for sequentially changing the photographing direction of the 6 photographing means. According to the three-dimensional image photographing apparatus, two-dimensional image information of the object is generated by photographing the object with the single 5 photographing means, and the photographing direction is sequentially changed by the photographing direction control means. In the first three-dimensional image photographing apparatus of the invention, the photographing direction control 10 means may have deflecting means which is provided between the object and the photographing means and which deflects light by selecting a direction for incident light. Alternatively, the photographic direction control means may have driving means for moving the photographing means; or may have driving means for 15 moving a part of an optical system provided between the object and the photographing means. In the first three-dimensional image photographing apparatus of the invention, the photographing direction control means may set the same photographing direction for all pixels of 20 the two-dimensional image information and may sequentially change the photographing direction. Alternatively, the photographing direction control means may set a different photographing direction for each pixel of the two-dimensional image information and may sequentially change the photographing direction for each 25 pixel. A first method for photographing a three-dimensional iipage 7 of the invention is a method for photographing a three-dimensional image for acquiring image information required for displaying a three-dimensional image of an object in a space. The method includes: a photographing step for photographing the object with 5 a single photographing means to generate two-dimensional image information of the object; and a photographing direction controlling step for sequentially changing a photographing direction at the photographing step. According to the method, the object is photographed with 10 the single photographing means to generate two-dimensional image information of the object at the photographing step, and the photographing direction at the photographing step is sequentially changed at the photographing direction controlling step. In the first method of the invention, for example, the 15 photographing direction controlling step may deflect light by selecting a direction for incident light between the object and the photographing means to thereby change the photographing direction. Alternatively, the step may move the photographing means to thereby change the photographing direction, or may move 20 a part of an optical system provided between the object and the photographing means to thereby change the photographing direction. In the first method of the invention, for example, the photographing direction control means may set the same 25 photographing direction for all pixels of the two-dimensional image information and sequentially change the photographing 8 direction. Alternatively, the photographing direction control means may set a different photographing direction for each pixel of the two-dimensional image information and sequentially change the photographing direction for each pixel. 5 A second three-dimensional image photographing apparatus of the invention is an apparatus for acquiring image information required for displaying a three-dimensional image of an object in a space, and it has: photographing means for photographing the object to generate two-dimensional image information of the 10 object; photographing direction setting means for setting a photographing direction for the photographing means, capable of setting a different photographing direction for each pixel of the two-dimensional image information; and photographing control means for controlling the photographing direction setting means 15 to acquire two-dimensional image information with a low resolution that is lower than the resolution of the photographing means in every photographing direction that can be set, and for repeatedly performing a process of generating the two-dimensional image with the low resolution while changing pixels to which a 20 specific photographing direction is assigned, to acquire two dimensional information with the same resolution as the resolution of the photographing means in every photographing direction that can be set. According to the second three-dimensional image 25 photographing apparatus of the invention, the photographing means generates two-dimensional image information of an object. The 9 photographing direction setting means is controlled by the photographing control means so as to acquire, in every photographing direction that can be set, two-dimensional image information with a low resolution that is lower than the resolution 5 of the photographing means, and a process of generating the two-dimensional image information with the low resolution is repeatedly performed while changing pixels to which a specific photographing directions is assigned, to thereby acquire, in each of all the photographing directions that can be set, two 10 dimensional image information with a resolution that is the same as the resolution of the photographing means. In the second three-dimensional image photographing apparatus of the invention, for example, the photographing means divides a two-dimensional image region into a plurality of 15 sub-regions each having A pixels (A is an integer equal to or greater than 2) and sets each of all the photographing directions that can be set for one pixel in each of the sub-regions to acquire the two-dimensional image information with the low resolution that is 1/A of the resolution.of the photographing means. The 20 photographing means then repeats a process of generating the two-dimensional image information with the low resolution A times while changing pixels to which a specific photographing direction is assigned in the sub-regions, to acquire the two-dimensional image information with the same resolution as the resolution of 25 the photographing means. In this case, for example, the photographing control means divides all the photographing 10 directions that can be set into groups each consisting of A photographing directions and repeatedly performs a process of acquiring the two-dimensional image information with the low resolution in the A photographing directions, thereby acquiring 5 the two-dimensional image information with the low resolution in all of the photographing directions that can be set. In the second three-dimensional image photographing apparatus of the invention, for example, the photographing directing setting means may have defecting means provided between 10 an object and the photographing means for deflecting incident light by selecting a direction. A second method for photographing a three-dimensional image according'to the invention is a method for acquiring image information required for displaying a three-dimensional image of 15 an object in a space using: photographing means for photographing an object to generate two-dimensional image information of the object; and photographing direction setting means for setting a photographing direction for the photographing means, capable of setting a different photographing direction for each pixel of the 20 two-dimensional image information. The method includes: a first step for controlling the photographing direction setting means to acquire, in each of all the photographing directions that can be set, two-dimensional image information with a low resolution that is lower than the resolution of the photographing means; and 25 a secor d step for repeatedly performing the first step while changing pixels to which a specific photographing direction is 11 assigned, to acquire two-dimensional image information with a resolution that is the same as the resolution of the photographing means in each of all the photographing directions that can be set. According to the method, the photographing direction 5 setting means is controlled at the first step so as to acquire two-dimensional image information with a low resolution that is lower than the resolution of the photographing means in each of all the photographing directions that can be set. At the second step, the first step is repeatedly performed while changing the 10 pixels to which a specific photographing direction is assigned, to acquire two-dimensional image information with the same resolution as the resolution of the photographing means in each of all the photographing directions that can be set. In the method, for example, the first step divides a 15 two-dimensional image region into a plurality of sub-regions each having A pixels (A is an integer equal to or greater than 2) and sets each of all the photographing directions that can be set for one pixel in each of the sub-regions, thereby acquiring the two-dimensional image information with the low resolution, the 20 low resolution being 1/A of the resolution of the photographing means. The second step repeatedly performs the first step A times while changing pixels to which a specific photographing direction is assigned in the sub-regions, thereby acquiring the two dimensional image information with the same resolution as the 25 resolution of the photographing means. In this case, for example, the first step divides all of the photographing directions that 12 can be set into groups each consisting of A photographing directions, and repeatedly performs a process of acquiring the two-dimensional image information with the low resolution in the A photographing directions, thereby acquiring two-dimensional 5 image information with the low resolution in all of the photographing directions that can be set. A three-dimensional image display apparatus according to the invention is an apparatus for displaying a three-dimensional image of an object in a space by projecting a plurality of pieces 10 of two-dimensional image information of the object obtained by viewing the object in different viewing directions, in projecting directions associated with the respective viewing directions. The apparatus has: projecting means for projecting the two dimensional image information of the object; projecting direction 15 setting means for setting a projecting direction for the projecting means, capable of setting a different projecting direction for each pixel of the two-dimensional image information; and display control means for displaying a three-dimensional image with a low resolution by controlling the 20 projecting direction setting means to project two-dimensional image information with a low resolution that is lower than the resolution of the projecting means in every projecting direction that can be set, and for repeatedly performing a process of projecting the two-dimensional image information with the low 25 resolution while changing pixels to which a specific projecting direction is assigned, to display a three-dimensional image with 7r)! 13 the same resolution as the resolution of the projecting means. According to the three-dimensional image display apparatus of the invention, the two-dimensional image information of the object is projected by the projecting means. The projecting 5 direction setting means is controlled by the display control means, so as to project two-dimensional image information with a low resolution that is lower than the resolution of the projecting means in every projecting direction that can be set, thereby displaying a three-dimensional image with a low resolution. A 10 process of projecting the two-dimensional image information with the low resolution is repeatedly performed while changing pixels to which a specific projecting direction is assigned, to thereby display a three-dimensional image with a resolution that is the same as the resolution of the projecting means. 15 In the three-dimensional image display apparatus of the invention, for example, the display control means divides a two-dimensional image region into a plurality of sub-regions each having A pixels (A is an integer equal to or greater than 2) and sets each of all the projecting directions that can be set for 20 one pixel in each of the sub-regions, to project the two dimensional image information with the low resolution, the low resolution being 1/A of the resolution of the projecting means, thereby displaying a three-dimensional image with a low resolution, and repeatedly performs a process of projecting the 25 two-dimensional image information with the low resolution A times 3 ,3 while changing pixels to which a specific projecting direction 14 is assigned in the sub-regions, to display a three-dimensional image with the same resolution as the resolution of the projecting means. In this case, for example, the display control means divides all of the projecting directions that can be set into 5 groups each consisting of A projecting directions, and repeatedly performs a process of projecting the two-dimensional image information with the low resolution in the A photographing directions, thereby projecting the two-dimensional image information with the low resolution in all of the photographing 10 directions that can be set. In the three-dimensional image display apparatus of the invention, for example, the projecting direction setting means may have defecting means for deflecting light by selecting a direction for exiting light. 15 A method for displaying a three-dimensional image according to the invention is a method for displaying a three-dimensional image of an object in a space by projecting a plurality of pieces of two-dimensional image information of the object obtained by viewing the object in different viewing 20 directions, in projecting directions associated with the respective viewing directions, using projecting means for projecting the two-dimensional image information of the object and projecting direction setting means for setting a projecting direction for the projecting means, capable of setting a different 25 photographing direction for each pixel of the two-dimensional image information. The method includes: a first step for 15 controlling the projecting direction setting means, so as to acquire, in every projecting direction that can be set, two dimensional image information with a low resolution that is lower than the resolution of the projecting means, to thereby display 5 a three-dimensional image with a low resolution; and a second step for repeatedly performing the first step while changing pixels to which a specific projecting direction is assigned, to thereby display a three-dimensional image with a resolution that is the same as the resolution of the projecting means. 10 In the method for displaying a three-dimensional image, at the first step, the projecting direction setting means is controlled so that the two-dimensional image information with a low resolution that is lower than the resolution of the projecting means is projected in every projecting direction that can be set, 15 and a three-dimensional image with a low resolution is displayed. At the second step, the first step is repeatedly performed while changing pixels to which a specific projecting direction is assigned, and a three-dimensional image with a resolution that is the same as the resolution of the projecting means is thereby 20 displayed. In the method for displaying a three-dimensional image of the invention, for example, the first step divides a two dimensional image region into a plurality of sub-regions each having A pixels (A is an integer equal to or greater than 2) and 25 sets each of all the projecting directions that can be set for one pixel in each of the sub-regions, to project the two- 16 dimensional image information with the low resolution, the low resolution being 1/A of the resolution of the projecting means, thereby displaying a three-dimensional image with the low resolution, and the second step repeatedly performs the first step 5 A times while changing pixels to which a specific projecting direction is assigned in the sub-regions, to display a three dimensional image with the same resolution as the resolution of the projecting means. In this case, for example, the first step divides all of the projecting directions that can be set into 10 groups each consisting of A photographing directions, and repeatedly performs a process of projecting two-dimensional image information with the low resolution in the A projecting directions, to project two-dimensional image information with the low resolution in all of the projecting directions that can be set. 15 A three-dimensional image display position converting apparatus of the present invention is used in a system for displaying a three-dimensional image of an object in a space by projecting a plurality of pieces of two-dimensional image information of the object obtained by viewing the object in 20 different viewing directions, in projecting directions associated with the respective viewing directions. The apparatus converts the position of the three-dimensional image of the object displayed in the space, and the apparatus has: quantity-of movement calculating means for identifying a quantity of a 25 movement of a position of the two-dimensional image information in a direction in the plane thereof that is required for moving 17 a position of the three-dimensional image by a specific quantity of movement, based on information on the quantity of movement of the position of the three-dimensional image and the viewing directions or projecting directions; and position changing means 5 for changing the position of the two-dimensional information by the quantity of movement identified by the quantity-of-movement calculating means. According to the three-dimensional image display position converting apparatus of the invention, the quantity-of-movement 10 calculating means identifies a quantity of movement of the two-dimensional image information in a direction in the plane thereof that is required for moving a position of the three dimensional image by a specific quantity of movement, based on information on the quantity of movement of the position of the 15 three-dimensional image and the viewing directions or projecting directions, and the position changing means changes the position of the two-dimensional image information by the quantity of movement identified by the quantity-of-movement calculating means. 20 In the three-dimensional image display position converting apparatus of the invention, for example, the quantity-of -movement calculating means identifies the quantity of movement of the position of the two-dimensional image information as a value proportionate to "b" which is expressed by b = a x tan~i where 25 "a" represents the quantity of movement of the three-dimensional STR image and Oi represents the viewing directions or projecting

.*

18 directions. In the three-dimensional image display position converting apparatus of the invention, for example, the position changing means has: storage means for storing the two-dimensional image 5 information; and address control means for changing the position of the two-dimensional image information by controlling write addresses for writing the information in the storage means and read addresses for reading the information from the storage means. The three-dimensional image display position converting 10 apparatus of the invention may be provided in a three- dimensional image photographing apparatus for photographing an object in a plurality of viewing directions to generate a plurality of pieces of two-dimensional image information of the object in different viewing directions. Alternatively, the three-dimensional image 15 display position converting apparatus may be provided in a three-dimensional image display apparatus for displaying a three-dimensional image of an object in a space by projecting a plurality of pieces of two-dimensional image information of the object obtained by viewing the object in different viewing 20 directions, in projecting directions associated with the respective viewing directions. A method for converting a display position of a three dimensional image of the present invention is a method for converting a position of a three-dimensional image of an object 25 in a space, and is used in a system for displaying a three dimensional image of an object in a space by projecting a plurality 19 of pieces of two-dimensional image information of the object by viewing the object in different viewing directions, in projecting directions associated with the respective viewing directions. The method includes: a quantity-of -movement calculating step for 5 identifying a quantity of a movement of a position of the two-dimensional image information in a direction in the plane thereof that is required for moving a position of the three dimensional image by a specific quantity of movement, based on information on the quantity of movement of the position of the 10 three-dimensional image and the viewing directions or projecting directions; and a position changing step for changing the position of the two-dimensional information by the quantity of movement identified by the quantity-of-movement calculating step. According to the method for converting the display position 15 of a three-dimensional image of the invention, the quantity of -movement calculating step identifies the quantity of movement of the position of the two-dimensional image information in a direction in the plane thereof that is required for moving the position of the three-dimensional image by a specific quantity 20 of movement, based on information on the quantity of movement of the position of the three-dimensional image and the viewing directions or projecting directions, and the position changing step changes the position of the two-dimensional image information by the quantity of movement identified by the 25 quantity-of-movement calculating step. In the method for converting the display position of a 20 three-dimensional image of the invention, for example, the quantity-of-movement calculating step identifies the quantity of movement of the position of the two-dimensional image information as a value proportionate to "b" which is expressed by b = a x tan~i 5 where "a" represents the quantity of movement of the three dimensional image and Oi represents the viewing directions or projecting directions. In the method for converting the display position of a three-dimensional image of the invention, for example, the 10 position changing step changes the position of the two dimensional image information by controlling write address for storing information in storage means for storing the two dimensional image information and read address for reading the information from the storage means. 15 The above and other objects, features and advantages of the invention will become sufficiently apparent from the following description. BRIEF DESCRIPTION OF THE DRAWINGS 20 Fig. 1 is an illustration showing a schematic configuration of a three-dimensional image photographing apparatus of a first embodiment of the invention. Fig. 2 is an illustration showing a schematic configuration of a three-dimensional image display apparatus of the first 25 embodiment of the invention. Fig. 3 is an illustration for explaining a positional 21 relationship between the three-dimensional image photographing apparatus and three-dimensional image display apparatus of the first embodiment of the invention. Fig. 4 is an illustration for explaining another positional 5 relationship between the three-dimensional image photographing apparatus and three-dimensional image display apparatus of the first embodiment of the invention. Fig. 5 is a block diagram of the three-dimensional image photographing apparatus of the first embodiment of the invention 10 showing a configuration thereof. Fig. 6 is an illustration showing association and relationship between angles of incident light selected by the deflecting plate in Fig. 5 and images acquired by the CCD. Fig. 7 is an illustration showing a configuration of a 15 liquid crystal device used in the deflecting plate in Fig. 5. Fig. 8 is an illustration showing a configuration of the deflecting plate in Fig. 5. Fig. 9 is an illustration for explaining an operation of the deflecting plate shown in Fig. 8. 20 Fig. 10 is an illustration for explaining an operation of the deflecting plate shown in Fig. 8. Fig. 11 is a block diagram of a three-dimensional image display apparatus of the first embodiment of the invention showing a configuration thereof. 25 Fig. 12 is an illustration showing association and relationship between two-dimensional images formed by the LCD in 22 Fig. 11 and angles of light exiting the deflecting plate. Fig. 13 is a perspective view showing the converging lens, deflecting plate, and diffusing plate in Fig. 12. Fig. 14 is an illustration for explaining an operation of 5 the deflecting plate in Fig. 11 Fig. 15 is an illustration for explaining an operation of the deflecting plate in Fig. 11. Fig. 16 is an illustration for explaining a principle behind a display position converting process in the first embodiment of 10 the invention. Fig. 17 is a block diagram of an example of a configuration of the display position converting circuits in Figs. 5 and 11. Fig. 18 is an illustration of an example of a method for photographing a three-dimensional image in the first embodiment 15 of the invention. Fig. 19 is an illustration of an example of a method for displaying a three-dimensional image in the first embodiment of the invention. Fig. 20 is an illustration showing a schematic 20 configuration of a three-dimensional image photographing apparatus of a second embodiment of the invention. Fig. 21 is an illustration showing a schematic configuration of a three-dimensional image display apparatus of the second embodiment of the invention. 25 Fig. 22 is a block diagram of the three-dimensional image ST/Z \ photographing apparatus of the second embodiment of the invention 23 showing a configuration thereof. Fig. 23 is a block diagram of the three-dimensional image display apparatus of the second embodiment of the invention showing a configuration thereof. 5 Fig. 24 is an illustration showing a schematic configuration of a three-dimensional image photographing apparatus of a third embodiment of the invention. Fig. 25 is an illustration showing a schematic configuration of a three-dimensional image display apparatus of 10 the third embodiment of the invention. Fig. 26 is a block diagram of the three-dimensional image photographing apparatus of the third embodiment of the invention showing a configuration thereof. Fig. 27 is a block diagram of the three-dimensional image 15 display apparatus of the third embodiment of the invention showing a configuration thereof. Fig. 28 is an illustration of an example of an optical member for changing a photographing direction and a projecting direction of a two-dimensional image in a modification of the third 20 embodiment of the invention. Fig. 29 is an illustration of another example of the optical member for changing a photographing direction and a projecting direction of a two-dimensional image in a modification of the third embodiment of the invention. 25 Fig. 30 is an illustration showing a format representing ST , a photographing direction and a projecting direction for each 24 pixel in a fourth embodiment of the invention. Fig. 31 is an illustration showing the format representing a photographing direction and a projecting direction for each pixel in the fourth embodiment of the invention. 5 Fig. 32 is an illustration showing the format representing a photographing direction and a projecting direction for each pixel in the fourth embodiment of the invention. Fig. 33 is an illustration showing the format representing a photographing direction and a projecting direction for each 10 pixel in the fourth embodiment of the invention. Fig. 34 is an illustration showing the format representing a photographing direction and a projecting direction for each pixel in the fourth embodiment of the invention. Fig. 35 is an illustration showing the format representing 15 a photographing direction and a projecting direction for each pixel in the fourth embodiment of the invention. Fig. 36 is an illustration of a configuration of a television conference system in a fifth embodiment of the invention. 20 BEST MODES FOR CARRYING OUT THE INVENTION A detailed description will now be made with reference to the drawings on apparatuses and methods for photographing a three-dimensional image, apparatuses and methods for displaying 25 a three-dimensional image, and apparatuses and methods for converting the display position of a three-dimensional image 25 according to embodiments of the invention. [First Embodiment] First, a description will be made with reference to Figs. 1 and 2 on principles behind photographing and display of a 5 three-dimensional image in a first embodiment of the invention. Fig. 1 is an illustration showing a schematic configuration of a three-dimensional image photographing apparatus of the present embodiment. The three-dimensional image photographing apparatus of the present embodiment has: a deflecting plate 11 10 capable of selecting a direction for incident light and a direction for exiting light in a predetermined range of angles; a converging lens 12 provided in a face-to-face relationship with one surface of the deflecting plate 11; and a pinhole member 13, a converging lens 14 and a CCD (charge coupled device) 15 provided in that order 15 on the side of the converging lens 12 opposite to the deflecting plate 11. The pinhole member 13 has a pinhole that allows light to pass through. In the three-dimensional image photographing apparatus, the surface of the deflecting plate 11 opposite to the converging 20 lens 12 is directed at an object 10 to be photographed. The deflecting plate 11 corresponds to the photographing direction control means of the invention. When parallel beams of light perpendicularly enter the converging lens 12 from the deflecting plate 11, it converges the light such that the exiting light will 25 have a smallest diameter in the position of the pinhole of the pinhole member 13. For example, a Fresnel lens is used as the 26 converging lens 12. The converging lens 14 forms an image of the object 10 on a photographic surface of the CCD 15 by converging light that has diffused after passing through the pinhole. The converging lens 12, pinhole member 13, converging lens 14, and 5 CCD 15 correspond to the photographing means of the invention. An operation of the three-dimensional image photographing apparatus shown in Fig. 1 will now be described. Light from the object 10 enters the deflecting plate 11. The deflecting plate 11 selectively allows only beams of light at a predetermined angle 10 to the plane of the deflecting plate 11 to pass through among the incident beams of light to cause them to exit as parallel beams of light perpendicular to the plane of the deflecting plate 11. The converging lens 12 converges the parallel beams of light from the deflecting plate 11. The beams of light pass through the 15 pinhole of the pinhole member 13 and are converged by the converging lens 14 to enter the CCD 15. A two-dimensional image of the object 10 in a predetermined viewing direction is formed on the photographic surface of the CCD 15. In the three dimensional image photographing apparatus, a photographic 20 operation is performed based on an assumption that a view point 16 is in a position that is opposite to the object 10 with respect to the deflecting plate 11 and converging lens 12 located between them. The angle of incident beams of light selected at the deflecting plate 11 is changed sequentially as time passes. 25 Thus, in the three-dimensional image photographing Y, apparatus shown in Fig. 1, the object 10 is photographed with the 27 single photographing means (CCD 15 or the like) to generate two-dimensional image information of the object 10, and the photographing direction is sequentially changed. Therefore, image information output by the CCD 15 is a plurality of pieces 5 of two-dimensional image information for which the photographing direction changes as time passes and which serve as image information required for displaying a three-dimensional image of the object in a space. Fig. 2 is an illustration showing a schematic configuration 10 of a three-dimensional image display apparatus of the present embodiment. The three-dimensional image display apparatus of the present embodiment has a transmission type liquid crystal display (hereinafter referred to as "LCD") 21 as a spatial light modulator that spatially modulates light passing therethrough based on 15 two-dimensional image information, and a converging lens 22, a pinhole member 23, a converging lens 24 and a deflecting plate 25 provided in that order on the light exit side of the LCD 21. The pinhole member 23 has a pinhole that allows light to pass. The converging lens 22 converges light exiting the LCD 21 to a 20 minimum diameter in the position of the pinhole of the pinhole member 23. The converging lens 24 collimates light that has passed through the pinhole. For example, a Fresnel lens is used as the converging lens 24. The deflecting plate 25 causes light from the converging lens 24 to exit as parallel beams of light 25 at a predetermined angle to the plane of the deflecting plate 25. <C The LCD 21, converging lens 22, pinhole member 23, converging lens 28 24, and deflecting plate 25 correspond to the projecting means of the invention. The deflecting plate 25 corresponds to the projecting direction setting means of the invention. An operation of the three-dimensional image display 5 apparatus shown in Fig. 2 will now be described. The LCD 21 spatially modulates light based on two-dimensional image information acquired by the three-dimensional image photographing apparatus shown in Fig. 1. The light modulated by the LCD 21 is converged by the converging lens 22, passes through 10 the pinhole of the pinhole member 23, and is collimated by the converging lens 24 to enter the deflecting plate 25. The deflecting plate 25 causes the light from the converging lens 24 to exit as parallel beams of light at a predetermined angle to the plane of the deflecting plate 25. The angle of the beams of 15 light exiting the deflecting plate 25 sequentially changes as time passes such that they coincide with the angle of the beams of light incident upon the deflecting plate 11 at the time of photographing. Thus, according to the three-dimensional image display apparatus shown in Fig. 2, light is modulated by the LCD 21 to 20 reproduce two-dimensional images based on the two-dimensional image information acquired by the three-dimensional image photographing apparatus shown in Fig. 1 for which the photographing direction changes. The two-dimensional images exit the deflecting plate 25 at an angle that coincides with the - 25 angle of the beams of light incident upon the deflecting plate 11 at the time of photographing. As a result, a three-dimensional 31 diagram of the three-dimensional image photographing apparatus of the present embodiment showing the configuration thereof. In addition to the configuration shown in Fig. 1, the three dimensional image photographing apparatus has: a CCD driving 5 circuit 31 for driving the CCD 15; a signal processing circuit 32 for processing signals output by the CCD 15 to output image signals; a display position converting circuit 33 to which the signals output by the signal processing circuit 32 are input and which performs a display position converting process to be 10 described later as needed; an operating portion 34 for supplying information on the quantity of a movement of a display position to the display position converting circuit 33; and an output circuit 35 for superimposing synchronization signals to the output of the display position converting circuit 33 to output 15 video signals. Further, the three-dimensional image photographing apparatus has: a deflecting plate driving circuit 36 for driving the deflecting plate 11; an angle pattern generating circuit 37 for supplying the deflecting plate driving circuit 36 with information on spatial and temporal patterns of selected 20 angles for incident light; and a timing control circuit 38 for controlling the timing of the operation of each of the above described circuits. The CCD 15 may be intended for either of monochrome and color images. For example, when a CCD 15 for color images is used, 25 it may be a single plate/color filter type having filters in colors R, G, and B and, alternatively, it may be a three plate type 32 including color separating means for separating incident light into the colors R, G, and B and three monochrome CCDs for receiving the separated light. An operation of the three-dimensional image photographing 5 apparatus shown in Fig. 5 will now be described. The deflecting plate driving circuit 36 drives the deflecting plate 11 such that the angle of incident light selected by the deflecting plate 11 sequentially changes in a predetermined period. The following description is based on an assumption that the angle of incident 10 light selected by the deflecting plate 11 changes from 01 to 060 with increments of AO. For example, AO is one degree. The CCD driving circuit 31 drives the CCD 15 in synchronism with the driving of the deflecting plate 11 by the deflecting plate driving circuit 36 such that information on one two-dimensional 15 image can be acquired for each angle of incident light selected by the deflecting plate 11. Signals output by the CCD 15 are processed by the signal processing circuit 32 into image signals. The image signals are subjected to the display position converting process at the display position converting circuit 33 as necessary, 20 and transmitted to the output circuit 35. Then, the output circuit 35 outputs video signals. The operation and configuration of the display position converting circuit 33 will be described in detail later. Fig. 6 is an illustration showing association and relationship between angles of incident light selected by the deflecting plate 11 and images acquired by the CCD 15. As shown 33 in the figure, the angle of incident light selected by the deflecting plate 11 changes from 01 to 060 with angular increments of AO (= 1 degree). The CCD 15 acquires a two-dimensional image of an object to be photographed at each of angles Oi (i = 1, 2, 5 ... , 60). In the present embodiment, one two-dimensional image acquired at each of the angles Oi is referred to as "an image for one field". Therefore, scan at the angles of incident light 01 through 060 provides two-dimensional images for 60 fields. In the following description, a set of two-dimensional images 10 obtained by the scan at the angles 01 through 060 is referred to as "images for 60 space fields". One three-dimensional still image is formed by images for 60 space fields. Therefore, the 60 space fields at the angles 01 through 060 are referred to as none space frame" . The image acquisition at the angles 01 through 15 060 is controlled such that it is performed at respective points in time tl through t60. When the acquisition of the images for the 60 space fields at the angles 01 through 060 is completed, further images for the 60 space fields at the angles 01 through 060 are acquired at 20 subsequent points in time t61 through t120. Thereafter, the acquisition of images for 60 space fields each is similarly repeated. When this is repeated 60 times, images for 3600 fields are acquired in total. For a certain angle Oi of interest, images for 60 fields are acquired at points in time ti through t (i + 60 25 x 59). In the following description, two-dimensional images acquired at points in time ti through t(i + 60 x 59) at each angle 34 Oi is referred to as "images for 60 time fields". Let us assume here that it takes 1/60 sec. to change the angle of incident light from the angle 01 to 060 and to acquire images for the 60 space fields. Then, a period At for a change 5 of the angle of incident light and image acquisition is 1/3600 sec., and images for 3600 fields are acquired in one sec. An example of a configuration of the deflecting plate 11 of the three-dimensional image photographing apparatus will now be described. Fig. 7 shows a configuration of a liquid crystal 10 device used for the reflecting plate 11. A liquid crystal device 40 is formed using an element referred to as "polymer dispersed liquid crystal (PDLC)" or "liquid crystal polymer composite". This polymer dispersed liquid crystal element has a function of allowing an opaque state and a transparent state to be switched 15 depending on the viewing angle utilizing an effect of a match between the refractive indices of the polymer and liquid crystal which is achieved by applying a voltage to the composite of the polymer and liquid crystal to align the orientation of the liquid crystal molecules with the direction of the electric field. 20 The liquid crystal device 40 has: a polymer/liquid crystal composite layer 43 formed by dispersing needle-shaped liquid crystal molecules 42 of a few microns or less in a polymeric material 41; and stripe electrodes 44 and 45 with a microscopic width which are formed on an entrance surface and an exit surface 5 of the polymer/liquid crystal composite layer 43 such that they face each other with the polymer/liquid crystal composite layer

*A

35 43 interposed therebetween and such that they extend in the direction orthogonal to the plane of the figure. While the stripe electrodes 44 and 45 may be provided such that the directions of the stripes (the longitudinal directions of the electrodes) are 5 in parallel with each other as described above, for example, the so-called simple matrix arrangement in which the directions of the stripes are orthogonal to each other may be employed. Alternatively, an active matrix arrangement configured using TFTs (thin film transistors) or the like may be employed. In those 10 cases, the deflecting direction control can be performed in two directions. The stripe electrodes 44 and 45 are formed of transparent conductive films such as ITOs (indium tin oxides) and extend in the direction orthogonal to the plane of the figure (longitudinal 15 direction). A predetermined voltage is selectively applied between the stripe electrodes 44 and 45. 1Px in the figure represents a region corresponding to one pixel. The stripe electrodes 44 and 45 are arranged at a pitch which is kept as small as possible provided that the 60 angles 01 through 060 can be 20 accommodated. Liquid crystal optical axes (longitudinal axes) of the liquid crystal molecules 42 are oriented in random directions in the polymeric material 41 when no voltage is applied thereto. In this state, the effective refractive index of the liquid crystal 25 molecules 42 and the refractive index of the polymeric material 4 d 41 do not match, and the polymer/liquid crystal composite layer 36 43 as a whole is in an opaque and white state as a result of a light scattering effect at interfaces between the liquid crystal molecules 42 and polymeric material 41. On the contrary, when a voltage is selectively applied between the stripe electrodes 5 44 and 45, the directions of the optical axes of the liquid crystal molecules 42 are aligned in coincidence with the direction of the electric field within a small range of expansion of the resultant electric field. As a result, the apparent refractive index of the liquid crystal molecules 42 will have a value nO which is a 10 value of the liquid crystal molecules 42 associated with normal beams of light. Therefore, use of a polymeric material 41 having a refractive index substantially equal to nO eliminates the difference between the refractive indices of the liquid crystal molecules 42 and polymeric material 41 at interfaces between them, 15 which reduces the light scattering effect in the direction of the electric field to make the polymer/liquid crystal composite layer 43 transparent. Specifically, light passes only in the direction of the electric field. For example, let us assume here that L represents the 20 thickness of the polymer/liquid crystal composite layer 43; and p represents the pitch at which the stripe electrodes 44 and 45 are arranged. In this case: tanbi = di/L = p x ni/L where bi represents the angle of the direction of light passing 25 through the polymer/liquid crystal composite layer 43 to the normal of the surface of the polymer/liquid crystal layer 43; ni 37 represents the quantity of an offset between the stripe electrodes 44 and 45 at that time in the horizontal direction represented in terms of the number of pitches; and di represents the quantity of the offset between the stripe electrodes 44 and 45 represented 5 in terms of distance. Then, the number ni of horizontal offset pitches between the stripe electrodes 44 and 45 required for achieving a predetermined angle 8i is expressed by the following Equation (1) where i = 1, 2, . .. , 60. ni = L x tani/p ... (1) 10 Fig. 8 shows a configuration of the deflecting plate 11 utilizing the above-described liquid crystal device 40. As shown in the figure, the deflecting plate 11 used in the three dimensional image photographing apparatus has a structure in which two liquid crystal devices 40 are overlapped with each other. 15 Hereinafter, the liquid crystal device 40 on the entrance side of the deflecting plate 11 is represented by reference number 40A, and the liquid crystal device 40 on the exit side is represented by reference number 40B. The stripe electrodes 44 and 45 are omitted in the illustration of Fig. 8. The interface between the 20 liquid crystal devices 40A and 40B is a light scattering surface. The deflecting plate 11 is driven as follows. In the liquid crystal device 40A, the application of a voltage to the stripe electrodes 44 and 45 is controlled such that the angle bi of light passing through the device becomes selected angles 01 through 060 25 of incident light. Light that has passed through the liquid crystal device 40A is scattered at the light scattering surface 215 38 between the liquid crystal devices 40A and 40B. In the liquid crystal device 40B, the application of a voltage to the stripe electrodes 44 and 45 is controlled such that only beams of light perpendicular to the plane of the liquid crystal device 40B pass 5 through the liquid crystal device 40B among the beams of light that have passed through the liquid crystal device 40A and scattered at the light scattering surface. As a result, only beams of light that have entered at an angle Oi pass through the deflecting plate 11 and exit the deflecting plate 11 10 perpendicularly to the plane thereof. Fig. 9 shows an operation of the deflecting plate 11 when incident light is at the angle 01, and Fig. 10 shows an operation of the deflecting plate 11 when incident light is at the angle 060. As shown in those figures, the application of a voltage to 15 the stripe electrodes 44 and 45 of the liquid crystal devices 40A and 40B is controlled such that the pair of electrodes to which the voltage is applied are sequentially shifted, for example, from the left side to the right side as indicated by the arrow in the figure while keeping the angle Oi between a straight line 20 connecting each pair of electrodes to which the voltage is applied and the plane of the deflecting plate 11. More specifically, scan for applying a pulse voltage to the stripe electrodes 44 arranged on the side of the exit surface sequentially (hereinafter referred to as "voltage application scan" ) is performed in synchronism with 25 voltage application scan for applying a pulse voltage to the stripe electrodes 45 arranged on the side of the entrance surface 39 sequentially at predetermined time intervals. At this time, control is performed to maintain a horizontal offset distance associated with the angle Oi between a stripe electrode 45 on the side of the entrance surface to which the voltage is applied and 5 a stripe electrode 44 on the side of the exit surface to which the voltage is applied. Such an operation is simultaneously performed in each region associated with each pixel. Voltage application scan for one angle Oi is performed in a time period of 1/3600 sec. Therefore, the time required for 10 voltage application scan for all of the angles 01 through 060 is 1/60 sec. For example, the polymer/liquid crystal composite layer 43 is formed using a method wherein a solution of a polymer and a liquid crystal is applied to a substrate and the solvent is 15 evaporated thereafter, or a method utilizing an effect of formation of small liquid crystal droplets as a result of deposition of the liquid crystal that occurs when monomers of a polymeric material is polymerized and hardened. However, it may be formed using other methods. For example, it may have a 20 structure in which a nematic liquid crystal is dispersed in an aqueous solution of polyvinyl alcohol (PVA) or the like to form microcapsules of liquid crystal droplets or a structure in which a small amount of a gelatine polymeric material is dispersed in a liquid crystal. While spherical liquid crystal molecules are 25 used in a conventional polymer dispersed liquid crystal, it is desirable that liquid crystal molecules have a needle-like shape 40 for applications like the present embodiment in which they must have directivity. For example, methods for forming such a needle-shaped liquid crystal includes a method in which a liquid crystal is deposited in a uniform magnetic field to form 5 microcapsules. According to this method, needle-shaped liquid crystal molecules 42 are formed as a result of a tidal effect in the direction of a magnetic field. A configuration of the three-dimensional image display apparatus in the present embodiment will now be described in detail 10 with reference to Fig. 11. Fig. 11 is a block diagram of the three-dimensional image display apparatus in the present embodiment showing the configuration thereof. In addition to the configuration shown in Fig. 2, the three-dimensional image display apparatus has: a light source portion 50 for supplying 15 parallel beams of illuminating light to the LCD 21; a synchronization separation circuit 51 to which video signals are input and which separates synchronization signals from the video signals and outputs the video signals and synchronization signals; a signal processing circuit 52 for performing signal 20 processing on the video signals output by the synchronization separation circuit 51 to output image signals; a display position converting circuit 53 to which signals output by the signal processing circuit 52 are input and which performs a display position converting process to be described later as needed; an 25 operating portion 54 for supplying information on the quantity of a movement of a display position to the display position 41 converting circuit 53; and an LCD driving circuit 55 for driving the LCD 21 based on signals output by the display position converting circuit 53. Further, the three-dimensional image display apparatus has: a deflecting plate driving circuit 56 for 5 driving the deflecting plate 25; an angle pattern generating circuit 57 for supplying the deflecting plate driving circuit 56 with information on spatial and temporal patterns of selected angles of incident light; and a timing control circuit 58 to which the synchronization signals output by the synchronization 10 separation circuit 51 are input and which controls the timing of the operation of each of the above-described circuits in synchronism with the synchronization signals. The LCD 21 may form either of monochrome and color images. For example, when color images are to be formed, a single 15 plate/color filter type LCD having filters in the colors R, G, and B is used as the LCD 21. For example, a ferroelectric liquid crystal (FLC) capable of operating at a high speed is used in the liquid crystal portion of the LCD 21. Instead of the light source portion 50 and LCD 21, there may be provided a white light source, 20 color separating means such as a dichroic mirror or dichroic prism for separating light emitted by the white light source into the colors R, G, and B, three monochrome LCDs for spatially modulating beams of light separated by the color separating means according to respective R, G, and B image signals, and synthesizing means 25 for synthesizing and outputting the beams of light in R, G, and B modulated by the monochrome LCDs.

42 An operation of the three-dimensional image display apparatus shown in Fig. 11 will now be described. For example, video signals acquired by the three-dimensional image photographing apparatus shown in Fig. 5 are input to the 5 three-dimensional image display apparatus. The synchronization separation circuit 51 separates synchronization signals from the input video signals and outputs the video signals and synchronization signals. The video signals are processed by the signal processing circuit 52 into image signals. The image 10 signals are subjected to a display position converting process at the display position converting circuit 53 as needed and transmitted to the LCD driving circuit 55. The LCD 21 is driven by the LCD driving circuit 55 based on the image signals. Parallel beams of illuminating light emitted by the light 15 source portion 50 are spatially modulated by the LCD 21. A two-dimensional image is thus formed. Light which has exited the LCD 21 impinges upon the deflecting plate 25 as parallel beams of light through the converging lens 22, the pinhole of the pinhole member 23, and the converging lens 24. 20 The deflecting plate driving circuit 56 drives the deflecting plate 25 such that the angle of light exiting the deflecting plate 25 sequentially changes in a predetermined period. The angle of light exiting the deflecting plate 25 is controlled such that it coincides with the angle of incident light 25 when each two-dimensional image formed by the LCD 21 is photographed by the three-dimensional image photographing 43 apparatus. Such angle control is performed by the timing control circuit 58 based on the synchronization signals separated by the synchronization separation circuit 51. Fig. 12 is an illustration showing association and 5 relationship between two-dimensional images formed by the LCD 21 and angles of light exiting the deflecting plate 25. It is assumed here that a stereoscopic three-dimensional image is displayed only in the horizontal direction. For this purpose, as shown in Fig. 12, a diffusing plate 29 for diffusing light in the vertical 10 direction is provided on the light exit side of the deflecting plate 25. Fig. 13 is a perspective view of the converging lens 24, deflecting plate 25, and diffusing plate 29. As shown in the figure, the diffusing plate 29 diffuses light exiting the deflecting plate 25 at a predetermined angle a in the vertical 15 direction. As shown in Fig. 12, the angle of light exiting the deflecting plate 25 changes from 01 to 060 with angular increments of AO (= 1 degree). The LCD 21 forms a two-dimensional image in association with each of angles Oi (i = 1, 2, ..., 60). Therefore, 20 scan at the angles of the exiting light 01 through 060 results in projection of two-dimensional images for 60 fields in respective different directions. The formation of the two dimensional images at the angles 01 through 060 is performed at respective points in time tl through t60. 25 When the formation of the images for the 60 space fields a at the angles 01 through 060 is completed, further images for the 44 60 space fields at the angles 01 through 060 are formed at subsequent points in time t61 through t120. Thereafter, the formation of images for 60 space fields each is similarly repeated. When this is repeated 60 times, images for 3600 fields are 5 projected in total. An example of a configuration of the deflecting plate 25 of the three-dimensional image display apparatus will now be described. Fig. 14 and Fig. 15 show a configuration of the deflecting plate 25. As shown in those figures, the deflecting 10 plate 25 is constituted of a single liquid crystal device 40. The surface of the deflecting plate 25 on the entrance side thereof is a light scattering surface 49. Therefore, light which has entered the deflecting plate 25 is scattered at the light scattering surface 49, and only light in a selected direction 15 passes through and exit the liquid crystal device 40. In the deflecting plate 25, application of a voltage to stripe electrodes 44 and 45 of the liquid crystal device 40 is controlled such that the angle of the exiting light sequentially becomes 01 through 060. Fig. 14 shows an operation of the 20 deflecting plate 25 when the angle of the exiting light is 01, and Fig. 15 shows an operation of the deflecting plate 25 when the angle of the exiting light is 060. As shown in those figures, application of a voltage to the stripe electrodes 44 and 45 of the liquid crystal device 40 is controlled such that the pair of 25 electrodes to which the voltage is applied are sequentially shifted, for example, from the left side to the right side as 45 indicated by the arrow in the figures while keeping the angle Oi between a straight line connecting each pair of electrodes to which the voltage is applied and the plane of the deflecting plate 25. More specifically, voltage application scan for applying a pulse 5 voltage to the stripe electrodes 45 arranged on the side of the exit surface sequentially is performed in synchronism with voltage application scan for applying a pulse voltage to the stripe electrodes 44 arranged on the side of the entrance surface sequentially at predetermined time intervals. At this time, 10 control is performed to maintain a horizontal offset distance associated with the angle Oi between a stripe electrode 44 on the side of the entrance surface to which the voltage is applied and a stripe electrode 45 on the side of the exit surface to which the voltage is applied. Such an operation is simultaneously 15 performed in each region associated with each pixel. Voltage application scan for one angle Oi is performed in a time period of 1/3600 sec. Therefore, the time required for voltage application scan for all of the angles 01 through 060 is 1/60 sec. 20 Since the orientation of liquid crystal molecules 42 has hysteresis, the oriented state is maintained for a certain time even after the electric field moves away. Therefore, the LCD 21 may be caused to display an image in a period of 1/3600 sec. after such orientation is performed throughout the deflecting plate 25. 25 More specifically, let us assume that a scan duty ratio defined as the ratio of actual time required for voltage application scan 46 to the period of the same (= 1/3600 sec.) is 50% or less, for example, and that a display duty ratio defined as the ratio of an actual display time to the display period of the LCD 21 (= 1/3600 sec.) is also 50% or less. Then, one cycle of voltage application scan 5 and display of one image on the LCD 21 is performed in a period of 1/3600 sec. When matrix electrodes are used instead of the stripe electrodes 44 and 45 as described above, halftones can be displayed by temporarily disturbing the direction of orientation of the liquid crystal molecules 42 at random and by orienting only 10 a part of the liquid crystal molecules 42 in a region corresponding to one pixel at an angle Oi. A description will now be made with reference to Fig. 16 on a principle behind the display position converting process in the present embodiment. Fig. 16 shows a schematic configuration 15 of the three-dimensional image display apparatus of the present embodiment similarly to Fig. 2. In the figure, reference number 20A represents a three-dimensional image that is displayed when the display position converting process is not performed, and reference number 20B represents a three-dimensional image that 20 is displayed when the display position converting process is performed to move the display position by a distance "a" toward or away from the three-dimensional image 20A. To perform such a position converting process, the positions of two-dimensional images for which light exits the deflecting plate 25 at an angle 25 Oi may be moved by a distance "b" on the deflecting plate 25 in a direction in the plane of the two-dimensional image information, 47 that is, in the horizontal direction. "b" is a value expressed by Equation (2) shown below. b = a x tan0i ... (2) where "a" is a negative value when the three-dimensional image 5 is moved toward a viewer 26 and is a positive value when it is moved away from the viewer. Oi is a negative value when light exiting the deflecting plate 25 is directed to the left in Fig. 16 and is a positive value when it is directed to the right. Further, "b" is a positive value when the positions of the 10 two-dimensional images on the deflecting plate 25 are moved to the right in Fig. 16 and is a negative value when they are moved to the left. Therefore, the display position of the three-dimensional image can be moved by shifting the positions of the two-dimensional 15 images projected on the deflecting plate 25 by "b" in accordance with the quantity of movement "a" of the display position of the three-dimensional image and the angle Oi of the light exiting the deflecting plate 25. The positions of the two-dimensional images projected on the deflecting plate 25 can be shifted by "b" by 20 shifting the positions of the two-dimensional images on the LCD 21 in the horizontal direction by a value obtained by multiplying "b" by a predetermined ratio, that is, by a value that is proportionate to "b". Similar conversion is performed also in the vertical direction to obtain a stereoscopic image having a 25 field angle also in the vertical direction (longitudinal direction).

48 The display position converting circuit 33 in Fig. 5 and the display position converting circuit 53 in Fig. 11 perform the process of shifting the positions of two-dimensional images to convert the display position of a three-dimensional image based 5 on the above-described principle. Fig. 17 is a block diagram of an example of a configuration of the display position converting circuits 33 and 53. It is assumed here that image signals input to the display position converting circuits 33 and 53 are digital signals. The display 10 position converting circuits 33 and 53 have: a frame memory 61 for storing input image signals in association with each two dimensional image; and a write/read address control circuit 62 for controlling write addresses and read addresses of the frame memory 61. The information of the quantity of a movement of a 15 display position is supplied to the write/read address control circuit 62 from the operating portions 34 and 54. Further, timing signals are supplied to the write/read address control circuit 62 from the timing control circuits 38 and 58. In the display position converting circuits 33 and 53, input 20 image signals are written in the frame memory 61 under control of the write/read address control circuit 62 and are thereafter read and output to a subsequent stage. Then, the write/read address control circuit 62 finds the quantity of the positional shift of the two-dimensional images based on the information of 25 the quantity of movement of the display position supplied by the operating portions 34 and 54 and the timing signals supplied by 49 the timing control circuits 38 and 58. A value corresponding to the quantity of movement "a" in Equation (2) is supplied as information on the quantity of a movement of the display position. The information of the angle Oi in Equation (2) is supplied as 5 the timing signals. The write/read address control circuit 62 controls write addresses and read addresses such that the positions of two-dimensional images represented by output image signals are shifted from the positions of two-dimensional images represented by the input image signals by the quantity thus found. 10 The write/read address control circuit 62 corresponds to the quantity-of-movement calculating means of the invention, and the frame memory 61 and write/read address control circuit 62 correspond to the position change means of the invention. When the input image signals are analog signals, they are 15 stored in the frame memory 61 after being subjected to analog-to-digital conversion. Such a display position converting process may be performed by the display position converting circuit 33 in the three dimensional image photographing apparatus shown in Fig. 5 or the 20 display position converting circuit 53 in the three-dimensional image display apparatus shown in Fig. 11. Therefore, either of the display position converting circuits 33 and 53 may be deleted. A description will now be made with reference to Fig. 18 and Fig. 19 on an example of a method for photographing and ~5 displaying a three-dimensional image more effectively. Fig. 18 shows a schematic configuration of a three-dimensional image 50 photographing apparatus similarly to Fig. 1, and Fig. 19 shows a schematic configuration of a three-dimensional image display apparatus similarly to Fig. 2. In Fig. 18, a mirror 70 is provided behind an object 10 to be photographed. In this case, the rear 5 surface of the object 10 is projected on the mirror 70. When the object 10 and the mirror 70 are photographed by the three dimensional image photographing apparatus and the resultant two-dimensional image information is supplied to the three dimensional image display apparatus to display a three 10 dimensional image, as shown in Fig. 19, a three-dimensional image 71 of the mirror 70 is displayed behind a three-dimensional image 20 of the object 10 in the viewing direction of a viewer 26. An image of the rear surface of the object 10 is projected on the three-dimensional image 71 of the mirror 70. As the view of the 15 three-dimensional image 20 of the object 10 changes depending on the viewing direction, the view of the image of the rear surface of the object 10 projected on the three-dimensional image 71 of the mirror 70 changes depending on the viewing direction. It is therefore possible to achieve display of three-dimensional images 20 with an increased stereoscopic feel compared to those available without the mirror 70. Further, it is more advantageous to render the surface of the deflecting plate 25 like a mirror surface by converting the display positions of the three-dimensional images such that the 25 position of the mirror surface of the three-dimensional image 71 of the mirror 70 coincides with the position of the surface of 51 the deflecting plate 25. As described above, according to the three-dimensional image photographing apparatus and method of the present embodiment, the photographing direction is sequentially changed 5 to photograph an object with the single photographing means, thereby acquiring a plurality of pieces of two-dimensional image information in different photographing directions. It is therefore possible to acquire image information required for displaying a three-dimensional image of an object in a space with 10 a simple configuration. According to the three-dimensional image photographing apparatus and method of the present embodiment, it is possible to photograph an object continuously with the single photographing means. It is therefore possible, even if the object 15 moves, to acquire image information required for displaying a three-dimensional image of the object in a space such that it moves, with a simple configuration. Therefore, the three-dimensional image photographing apparatus and method of the present embodiment make it possible to achieve display of a stereoscopic 20 dynamic image in a true sense with a simple configuration. Further, the present embodiment makes it possible to convert a display position of a three-dimensional image with a simple configuration that is provided only by adding the display position converting circuits 33 and 53 and through a simple process 25 that involves only shifting of the positions of two-dimensional images. It is therefore possible to display a three-dimensional 52 image in a desired position in a space. [Second Embodiment ] A second embodiment of the invention will now be described. The present embodiment is an example in which an object is 5 photographed with a single photographing means while the photographing direction is sequentially changed by moving the single photographing means, to acquire a plurality of pieces of two-dimensional image information in different photographing directions. 10 First, a description will be made with reference to Figs. 20 and 21 on principles behind photographing and display of a three-dimensional image in the present embodiment. Fig. 20 is an illustration showing a schematic configuration of a three-dimensional image photographing 15 apparatus in the present embodiment. The three-dimensional image photographing apparatus in the present embodiment has: a converging lens 12; and a pinhole member 13, a converging lens 14 and a CCD 15 provided in that order on the side of one surface of the converging lens 12. In the present embodiment , the pinhole 20 member 13, converging lens 14, and CCD 15 are collectively referred to as "camera 110". The camera 110 is swung in the horizontal direction by a camera driving device to be described later. The center of the swing of the camera 110 is located on an extension of the optical axis of the converging lens 12. 25 In the three-dimensional image photographing apparatus, the surface of the converging lens 12 opposite to the pinhole 53 member 13 is directed to an object 10 to be photographed. When parallel beams of light perpendicularly enter the converging lens 12 from the object 10, the converging lens 12 converges the light such that the exiting light will have a smallest diameter in the 5 position of the pinhole of the pinhole member 13. The converging lens 14 forms an image of the object 10 on a photographic surface of the CCD 15 by converging light that has diffused after passing through the pinhole. An operation of the three-dimensional image photographing 10 apparatus shown in Fig. 20 will now be described. The camera 110 is swung in the horizontal direction. When the camera 110 is located at the center of the swing, only beams of light that perpendicularly enter the converging lens 12 form an image on CCD 15 among the beams of light from the object 10. When the camera 15 110 is not located at the center of the swing, only beams of light that diagonally enter the converging lens 12 at a predetermined angle form an image on the photographic surface of the CCD 15 among beams of light from the object 10. The predetermined angle changes depending on the position of the camera 110. 20 Thus, in the three-dimensional image photographing apparatus shown in Fig. 20, the object 10 is photographed with the single photographing means (camera 110) to generate two dimensional image information of the object 10, and the photographing direction is sequentially changed. Therefore, 25 image information output by the CCD 15 is two-dimensional image information for which the photographing direction changes as time 54 passes and which serves as image information required for displaying a three-dimensional image of the object in a space. Fig. 21 is an illustration showing a schematic configuration of a three-dimensional image display apparatus of 5 the present embodiment. The three-dimensional image display apparatus of the present embodiment has: a transmission type LCD 21 as a spatial light modulator that spatially modulates light passing therethrough based on two-dimensional image information; and a converging lens 22, a pinhole member 23 and a converging 10 lens 24 provided in that order on the light exit side of the LCD 21. In the present embodiment, a light source portion to be described later for supplying illuminating light to the LCD 21, the LCD 21, the converging lens 22 and the pinhole member 23 are collectively referred to as "projector 120". The projector 120 15 is swung in the horizontal direction by a projector driving device to be described later. The center of the swing of the projector 120 is located on an extension of the optical axis of the converging lens 24. The converging lens 22 converges light exiting the LCD 21 20 to a minimum diameter in the position of the pinhole of the pinhole member 23. The converging lens 24 collimates light that has passed through the pinhole. An operation of the three-dimensional image display apparatus shown in Fig. 21 will now be described. The LCD 21 25 spatially modulates light based on two-dimensional image information acquired by the three-dimensional image 55 photographing apparatus shown in Fig. 20. The light modulated by the LCD 21 is converged by the converging lens 22, passes through the pinhole of the pinhole member 23, and exits the converging lens 24 after being collimated thereby. Since the projector 120 5 is swung in the horizontal direction, the direction of the light exiting the converging lens 24 sequentially changes. The projector 120 is swung such that the angle of the light exiting the converging lens 24 coincides with the angle of incident light at the time of photographing. 10 Thus, in the three-dimensional image display apparatus shown in Fig. 21, light is modulated by the LCD 21 to reproduce two-dimensional images based on the two-dimensional image information acquired by the three-dimensional image photographing apparatus shown in Fig. 20 for which the 15 photographing direction is changed. The two-dimensional images are projected from the converging lens 24 at an angle that coincides with the angle of incident light at the time of photographing. As a result, a three-dimensional image 20 of the object 10 is formed in a space. 20 The configuration of the three-dimensional image photographing apparatus of the present embodiment will now be described in detail with reference to Fig. 22. Fig. 22 is a block diagram of the three-dimensional image photographing apparatus of the present embodiment showing the configuration thereof. In 25 addition to the configuration shown in Fig. 20, the three dimensional image photographing apparatus has: a CCD driving 56 circuit 31 for driving the CCD 15; a signal processing circuit 32 for processing signals output by the CCD 15 to output image signals; a display position converting circuit 33 to which the signals output by the signal processing circuit 32 are input and 5 which performs a display position converting process as needed; an operating portion 34 for supplying information on the quantity of a movement of a display position to the display position converting circuit 33; and an output circuit 35 for superimposing synchronization signals to the output of the display position 10 converting circuit 33 to output video signals. Further, the three-dimensional image photographing apparatus has: a camera driving device 111 for swinging the camera 110; a camera driving circuit 112 for controlling the camera driving device 111; a camera control circuit 113 for controlling the camera driving circuit 15 112; and a timing control circuit 38 for controlling the timing of the operation of each of the above-described circuits. An operation of the three-dimensional image photographing apparatus shown in Fig. 22 will now be described. The camera driving circuit 112 and camera driving device 111 swing the camera 20 110 such that the photographing direction of the camera 110 sequentially changes. The CCD driving circuit 31 drives the CCD 15 in synchronism with the swing of the camera 110 such that information on one two-dimensional image is acquired in each of a plurality of predetermined photographing directions. Signals output by the CCD 15 are processed by the signal processing circuit -32 into image signals. The image signals are subjected to the 57 display position converting process at the display position converting circuit 33 as needed and are transmitted to the output circuit 35. The camera driving device 111 has a function of driving the optical system of the camera 110 and so on to perform 5 focus adjustment, zooming, lens stop adjustment, shutter speed adjustment, and so on. Those functions are controlled by the camera control circuit 113 through the camera driving circuit 112. The camera control circuit 113 transmits information on focus adjustment, zooming, lens stop adjustment, shutter speed 10 adjustment, and so on to the output circuit 35 as control signals. The output circuit 35 associates the control signals with time and outputs the same along with video signals to the outside. The configuration of the three-dimensional image display apparatus in the present embodiment will now be described in detail 15 with reference to Fig. 23. Fig. 23 is a block diagram of the three-dimensional image display apparatus of the present embodiment showing the configuration thereof. In addition to the configuration shown in Fig. 21, the three-dimensional image display apparatus has: a light source portion 50 for supplying 20 parallel beams of illuminating light to the LCD 21; a synchronization separation circuit 51 to which video signals are input and which separates synchronization signals from the video signals and outputs the video signals and synchronization signals; a signal processing circuit 52 for performing signal 25 processing on the video signals output by the synchronization separation circuit 51 to output image signals; a display position 58 converting circuit 53 to which the signals output by the signal processing circuit 52 are input and which performs a display position converting process as needed; an operating portion 54 for supplying information on the quantity of a movement of a 5 display position to the display position converting circuit 53, and an LCD driving circuit 55 for driving the LCD 21 based on signals output by the display position converting circuit 53. Further, the three-dimensional image display apparatus has: a projector driving device 121 for driving the projector 120; a 10 projector driving circuit 122 for controlling the projector driving device 121; a projector control circuit 123 for controlling the projector driving circuit 122 based on control signal input from the outside; and a timing control circuit 58 to which the synchronization signals output by the 15 synchronization separation circuit 51 are input and which controls the timing of the operation of each of the above-described circuits in synchronism with the synchronization signals. An operation of the three-dimensional image display apparatus shown in Fig. 23 will now be described. For example, 20 video signals acquired by the three-dimensional image photographing apparatus shown in Fig. 22 are input to the three-dimensional image display apparatus. The synchronization separation circuit 51 separates synchronization signals from the input video signals and outputs the video signals and 25 synchronization signals. The video signals are processed by the signal processing circuit 52 into image signals. The image 59 signals are subjected to the display position converting process at the display position converting circuit 53 as needed and transmitted to the LCD driving circuit 55. The LCD 21 is driven by the LCD driving circuit 55 based on the image signals. 5 Parallel beams of illuminating light emitted by the light source portion 50 are spatially modulated by the LCD 21. As a result, two-dimensional images are formed. Light which has exited the LCD 21 passes through the converging lens 22, the pinhole of the pinhole member 23, and the converging lens 24 to 10 exit. The projector driving circuit 122 and the projector driving device 121 swing the projector 120 such that the direction of the light exiting the converging lens 24 sequentially changes. The angle of the light exiting the converging lens 24 is controlled 15 such that it coincides with the angle of incident light at the time of photographing with the three-dimensional image photographing apparatus shown in Fig. 22 for each of the two dimensional images formed by the LCD 21. Such angle control is performed by the timing control circuit 58 based on the 20 synchronization signals separated by the synchronization separation circuit 51. The projector driving device 121 also has a function of driving the optical system of the projector 120 and so on to perform focus adjustment, zooming, lens stop adjustment, and so on. Those functions are controlled by the projector 25 control circuit 123 through the projector driving circuit 122. The projector control circuit 123 receives information on focus 60 adjustment, zooming, lens stop adjustment, shutter speed adjustment, and so on as control signals from the outside, and performs the focus adjustment, zooming, lens stop adjustment, and so on of the projector 120, based on the control signals. This 5 makes it possible to display a three-dimensional image of an object with the focus located in a position in accordance with the distance between the camera 110 and the object at the time of photographing, to zoom the image in accordance with conditions for zooming at the time of photographing, and to set the depth 10 of field in accordance with conditions for lens stop adjustment, shutter speed adjustment, and so on at the time of photographing. As a result, it is possible to display a more realistic three-dimensional image. When the display position converting process is performed, the focus information is also changed in 15 accordance with the position after the conversion. While the camera 110 and the projector 120 are swung in the horizontal direction in the present embodiment, they may be swung in the horizontal and vertical directions (e.g., moved two-dimensionally) to obtain a stereoscopic image having a field 20 angle also in the longitudinal direction (vertical direction). The configuration, operation, and effects of the present embodiment are otherwise the same as those of the first embodiment. [Third Embodiment] A third embodiment of the invention will now be described. 25 The present embodiment is an example in which an object is photographed with a single photographing means while the

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61 photographing direction is sequentially changed by moving a part of an optical system, to acquire a plurality of pieces of two-dimensional image information in different photographing directions. 5 First, a description will be made with reference to Figs. 24 and 25 on principles behind photographing and display of a three-dimensional image in the present embodiment. Fig. 24 is an illustration showing a schematic configuration of a three-dimensional image photographing 10 apparatus of the present embodiment. The three-dimensional image photographing apparatus of the present embodiment has: a converging lens 12; and a pinhole member 13, a converging lens 14 and a CCD 15 provided in that order on the side of one surface of the converging lens 12. In the present embodiment, the 15 converging lens 12 is swung in the horizontal direction by a lens driving device to be described later. The center of the swing of the converging lens 12 is located on an extension of the optical axis of the converging lens 14. According to the three-dimensional image photographing 20 apparatus, an object 10 is photographed with a single photographing means to generate two-dimensional image information of the object 10, and the converging lens 12 is swung in the horizontal direction to change the photographing direction sequentially. Therefore, image information output by the CCD 15 25 is two-dimensional image information for which the photographing direction changes as time passes and which serves as image 62 information required for displaying a three-dimensional image of the object in a space. Fig. 25 is an illustration showing a schematic configuration of a three-dimensional image display apparatus of 5 the present embodiment. The three-dimensional image display apparatus of the present embodiment has: a transmission type LCD 21 as a spatial light modulator that spatially modulates light passing therethrough based on two-dimensional image information; and a converging lens 22, a pinhole member 23 and a converging 10 lens 24 provided in that order on the light exit side of the LCD 21. In the present embodiment, the converging lens 24 is swung in the horizontal direction by a lens driving device to be described later. The center of the swing of the converging lens 24 is located on an extension of the optical axis of the converging 15 lens 22. According to the three-dimensional image display apparatus, the LCD 21 spatially modulates light based on the two-dimensional image information acquired by the three-dimensional image photographing apparatus shown in Fig. 24. The light modulated 20 by the LCD 21 is converged by the converging lens 22, passes through the pinhole of the pinhole member 23, and exits the converging lens 24 after being collimated thereby. Since the converging lens 24 is swung in the horizontal direction, the direction of the light exiting the converging lens 24 sequentially changes. The 25 converging lens 24 is swung such that the angle of the light exiting the converging lens 24 coincides with the angle of incident light 63 at the time of photographing. Thus, according to the three-dimensional image display apparatus shown in Fig. 25, light is modulated by the LCD 21 to reproduce two-dimensional images based on two-dimensional image 5 information acquired by the three-dimensional image photographing apparatus shown in Fig. 24 for which the photographing direction is changed. The two-dimensional images are projected from the converging lens 24 at an angle that coincides with the angle of incident light at the time of 10 photographing. As a result, a three-dimensional image 20 of the object 10 is formed in a space. Fig. 26 is a block diagram of the three-dimensional image photographing apparatus of the present embodiment showing the configuration thereof. The three-dimensional image 15 photographing apparatus has a lens driving device 131 for swinging the converging lens 12 and a lens driving circuit 132 for controlling the lens driving device 131, instead of the camera driving device 111 and the camera driving circuit 112 of the three-dimensional image photographing apparatus shown in Fig. 22. 20 Further, the three-dimensional image photographing apparatus has: an adjusting portion 134 for driving the optical system and so on of the three-dimensional image photographing apparatus to perform focus adjustment, zooming, lens stop adjustment, shutter speed adjustment and so on; and a camera control circuit 133 for 25 controlling the adjusting portion 134. The camera control circuit 113 transmits information on focus adjustment, zooming, 64 lens stop adjustment, shutter speed adjustment and so on to the output circuit 35 as control signals. The output circuit 35 associates the control signals with time and outputs the same along with video signals to the outside. 5 Fig. 27 is a block diagram of the three-dimensional image display apparatus of the present embodiment showing the configuration thereof. The three-dimensional image display apparatus has a lens driving device 141 for swinging the converging lens 24 and a lens driving circuit 142 for controlling the lens 10 driving device 141, instead of the projector driving device 121 and projector driving circuit 122 of the three-dimensional image display apparatus shown in Fig. 23. Further, the three dimensional image display apparatus has: an adjusting portion 144 for driving the optical system and so on of the three-dimensional 15 image display apparatus to perform focus adjustment, zooming, lens stop adjustment, shutter speed adjustment and so on; and a projector control circuit 143 for controlling the adjusting portion 144. The projector control circuit 123 receives input of information on focus adjustment, zooming, lens stop adjustment, 20 shutter speed adjustment and so on as control signals from the outside and performs focus adjustment, zooming, lens stop adjustment and so on based on the control signals. While the converging lenses 12 and 24 are swung in the horizontal direction in the present embodiment, they may be swung 25 in the horizontal and vertical directions (e.g., moved two dimensionally) to obtain a stereoscopic image having a field angle A Y 4 65 also in the longitudinal direction (vertical direction). Further, while the converging lenses 12 and 24 are swung in the horizontal direction as a part of the optical system, the photographing direction and the projecting direction of a 5 two-dimensional image may be changed by moving other optical members. Fig. 28 is an illustration of an example of an optical member for changing the photographing direction and the projecting direction of a two-dimensional image. An optical member 151 is 10 constituted of a transparent flat plate of glass or the like and is swung about an axis 152 that is orthogonal to the traveling direction of light. Light passing through the optical member 151 is swung in the horizontal direction depending on the position of the optical member 151. Therefore, the photographing 15 direction and the projecting direction of a two-dimensional image can be changed by inserting the optical member 151 in the optical systems of the three-dimensional image photographing apparatus and the three-dimensional image display apparatus. Fig. 29 is an illustration of another example of the optical 20 member for changing the photographing direction and the projecting direction of a two-dimensional image. The optical member has: a mirror 153 for reflecting incident light by changing the traveling direction thereof by 90 deg.; a mirror 154 that is provided in the direction in which the light incident upon the 25 mirror 153 travels after being reflected and that reflects incident light by changing the traveling direction thereof by 90 66 deg.; and a voice coil motor 155 for reciprocating the mirror 154 in a direction perpendicular to the reflecting surface thereof. The reflecting surface of the mirror 153 and the reflecting surface of the mirror 154 are in parallel with each other. Light passing 5 through the optical member is swung in the horizontal direction depending on the position of the mirror 154 driven by the voice coil motor 155. Therefore, the photographing direction and the projecting direction of a two-dimensional image can be changed by inserting the optical member in the optical systems of 10 three-dimensional image photographing apparatus and the three-dimensional image display apparatus. The configuration, operation and effects of the present embodiment are otherwise the same as those of the second embodiment. 15 [Fourth Embodiment] A fourth embodiment of the invention will now be described. In the present embodiment, to photograph a three-dimensional image, a different photographing direction is set for each pixel to generate information of one two-dimensional image, and the 20 photographing direction for each pixel is sequentially changed to generate two-dimensional image information continuously. In the present embodiment, to display a three-dimensional image, the two-dimensional image information acquired continuously as described above is projected for each pixel in a direction 25 associated with the photographing direction at the time of photographing to form the three-dimensional image.

67 First, a description will be made with reference to Figs. 30 through 35 on a format representing the photographing direction and the projecting direction of each pixel in the present embodiment. In the following description, a two-dimensional 5 image having N pixels in the horizontal direction and M pixels in the vertical direction is referred to as "a two-dimensional image with N x M pixels " . In the present embodiment, it is assumed that two-dimensional image information photographing means of a three-dimensional image photographing apparatus and two 10 dimensional image information projecting means of a three dimensional image display apparatus have a resolution of 640 x 480 pixels. That is, a two-dimensional image is formed by 640 x 480 pixels. There are 60 photographing and projecting directions, i.e., 01 through 060. Numerals 1 through 60 in Figs. 15 30 through 35 represent the directions 01 through 060, respectively. In the present embodiment, one space frame is made up of five space fields. One space frame forms one three dimensional still image. Twelve space frames form a three dimensional image for one sec. 20 In the present embodiment, a two-dimensional image region with 640 x 480 pixels is divided into 160 sub-regions in the horizontal and vertical directions. Each sub-region is formed by 4 x 3 pixels. Fig. 30 shows a first space field Fdl through a fifth space 5 field Fd5 which form a first space frame Fml. Regions with 4 x 3 pixels in the figure represent the sub-regions. When the 68 directions of the pixels in each sub-region are checked in their order in the scanning direction, in the first space field Fdl of the first space frame Fml, the directions of the pixels in each sub-region are respectively set at 01 through 012. In the second 5 space field Fd2, the directions of the pixels in each sub-region are respectively set at 013 through 024. In the third space field Fd3, the directions of the pixels in each sub-region are respectively set at 025 through 036. In the fourth space field Fd4, the directions of the pixels in each sub-region are 10 respectively set at 037 through 048. In the fifth space field Fd5, the directions of the pixels in each sub-region are respectively set at 049 through 060. Fig. 31 shows a first space field Fdl through a fifth space field Fd5 which form a second space frame Fm2. Regions with 4 15 x 3 pixels in the figure represent the sub-regions. When the directions of the pixels in each sub-region are checked in their order in the scanning direction, in the first space field Fdl of the second space frame Fm2, the directions of the pixels in each sub-region are respectively set at 02 through 012 and 01. In the 20 second space field Fd2, the directions of the pixels in each sub-region are respectively set at 014 through 024 and 013. In the third space field Fd3, the directions of the pixels in each sub-region are respectively set at 026 through 036 and 025. In the fourth space field Fd4, the directions of the pixels in each 25 sub-region are respectively set at 038 through 048 and 037. In the fifth space field Fd5, the directions of the pixels in each 69 sub-region are respectively set at 050 through 060 and 049. Fig. 32 shows a first space field Fdl through a fifth space field Fd5 which form a third space frame Fm3. Regions with 4 x 3 pixels in the figure represent the sub-regions. When the 5 directions of the pixels in each sub-region are checked in their order in the scanning direction, in the first space field Fdl of the third space frame Fm3, the directions of the pixels in each sub-region are respectively set at 03 through 012, 01 and 02. In the second space field Fd2, the directions of the pixels in each 10 sub-region are respectively set at 015 through 024, 013 and 014. In the third space field Fd3, the directions of the pixels in each sub-region are respectively set at 027 through 036, 025 and 026. In the fourth space field Fd4, the directions of the pixels in each sub-region are respectively set at 039 through 048, 037 and 15 038. In the fifth space field Fd5, the directions of the pixels in each sub-region are respectively set at 051 through 060, 049 and 050. Similarly, in each later space frame, the assignment of directions to pixels is shifted by one pixel in the scanning 20 direction in each sub-region from that in the preceding frame, although the combination of directions assigned to each sub region in the space fields Fdl through Fd5 remains unchanged. Fig. 33 shows a first space field Fdl through a fifth space field Fd5 which form a twelfth space frame Fm12. Regions with 5 4 x 3 pixels in the figure represent the sub-regions. When the directions of the pixels in each sub-region are checked in their 70 order in the scanning direction, in the first space field Fdl of the twelfth space frame Fm12, the directions of the pixels in each sub-region are respectively set at 012 and 01 through 011. In the second space field Fd2, the directions of the pixels in each 5 sub-region are respectively set at 024 and 013 through 023. In the third space field Fd3, the directions of the pixels in each sub-region are respectively set at 036 and 025 through 035. In the fourth space field Fd4, the directions of the pixels in each sub-region are respectively set at 048 and 037 through 047. In 10 the fifth space field Fd5, the directions of the pixels in each sub-region are respectively set at 060 and 049 through 059. In Figs. 30 through 33, in order to clearly show changes in the pixel to which a certain direction is assigned, the pixels assigned to the directions 012, 024, 036, 048, and060 are indicated 15 by enclosing them in squares. Figs. 34 and 35 show directions assigned to pixels in one sub-region. Fig. 34 shows the first space frame Fml through sixth space frame Fm6, and Fig. 35 shows the seventh space frame Fm7 through twelfth space frame Fml2. 20 The three-dimensional image photographing apparatus of the present embodiment has the same configuration as that in Fig. 5. In the present embodiment, the angle pattern generating circuit 37 generates an angle pattern representing the direction of each pixel according to the above-described format and supplies it to 25 the deflecting plate driving circuit 36. The deflecting plate driving circuit 36 sets an angle for incident light for each pixel 71 of the deflecting plate 11. The CCD driving circuit 31, the deflecting plate driving circuit 36, the angle pattern generating circuit 37, and the timing control circuit 38 in Fig. 5 correspond to the photographing control means of the invention. 5 The three-dimensional image display apparatus of the present embodiment has the same configuration as that in Fig. 11. In the present embodiment, the angle pattern generating circuit 57 generates an angle pattern representing the direction of each pixel according to the above-described format and supplies it to 10 the deflecting plate driving circuit 56. The deflecting plate driving circuit 56 sets an angle for exiting light for each pixel of the deflecting plate 25 according to the supplied angle pattern. The LCD driving circuit 55, the deflecting plate driving circuit 56, the angle pattern generating circuit 57, and the timing control 15 circuit 58 in Fig. 11 correspond to the display control means of the invention. The angle pattern at the time of display of each two dimensional image must coincide with the angle pattern at the time of photographing. It can be achieved by synchronizing changes 20 in the space frames and space fields of the two-dimensional image with changes in the angle pattern, based on the synchronization signals included in the video signals. As described above, in the present embodiment, a three-dimensional still image is formed by one space frame made _25 up of five space fields. In one space field, still images with a resolution of 160 x 160 pixels are simultaneously formed in 72 twelve directions. Still images with a resolution of 160 x 160 pixels are formed in all of the 60 directions with five space fields, that is, one space frame. Therefore, a three-dimensional image with a resolution of 160 x 160 pixels can be displayed with one 5 space frame. Further, a three-dimensional image with a resolution of 640 x 480 pixels, the maximum resolution, can be displayed in all of the 60 directions with 12 space frames. In addition, a substantially perfect three-dimensional dynamic image of 60 fields/sec. can be viewed in a certain direction. 10 In the present embodiment, each space field forms images in 12 directions among the 60 total directions, and five space fields (one space frame) form images in all of the 60 directions. While each space frame forms a three-dimensional image with a resolution of 160 x 160 pixels, pixels to which a specific 15 direction is assigned are different from frame to frame. As a result, a three-dimensional image with a resolution of 640 x 480 pixels is formed with 12 space frames. Therefore, it may be put that information required for displaying a three-dimensional image is configured using a temporal and spatial interlacing 20 method in the present embodiment. According to the present embodiment, it is possible to display a three-dimensional dynamic image that is worth viewing in terms of the cycle of image updates and resolution with the number of fields per second kept small. Although five space fields make up one space frame and 12 space frames (60 space fields) form a three-dimensional image for 73 one second in the present embodiment, various modifications are possible as shown below. For example, four space fields may form one space frame, and 15 space frames (60 space fields) may form a three-dimensional 5 image for one second. In this case, for example, a sub-region has 5 x 3 pixels, and a two-dimensional still image with a resolution of 128 x 160 pixels is projected in one direction in one space field. Three space fields may form one space frame, and 20 space 10 frames (60 space fields) may form a three-dimensional image for one second. In this case, for example, a sub-region has 5 x 4 pixels, and a two-dimensional still image with a resolution of 128 x 120 pixels is projected in one direction in one space field. Two space fields may form one space frame, and 30 space 15 frames (60 space fields) may form a three-dimensional image for one second. In this case, for example, a sub-region has 5 x 6 pixels, and a two-dimensional still image with a resolution of 128 x 80 pixels is projected in one direction in one space field. One space field may form one space frame, and 60 space frames 20 (60 space fields) may form a three-dimensional image for one second. In this case, for example, a sub-region has 10 x 6 pixels, and a two-dimensional still image with a resolution of 64 x 80 pixels is projected in one direction in one space field. While the number of space fields per second is 60 in the 25 present embodiment, a three-dimensional dynamic image with smoother movements can be displayed by increasing the number. For f 74 example, if the number of space fields per second is 120, the changing of angle patterns for 60 fields as described in the present embodiment can be repeated twice in one second, which makes it possible to render movements more smoothly. 5 While a two-dimensional image is formed with 640 x 480 pixels in the present embodiment, an increase in the number of pixels will make it possible to display a more precise (finer) three-dimensional image. For example, let us assume that a two-dimensional image is formed with 1024 x 768 pixels. In this 10 case, if the space is to be divided at each predetermined angle into 60 parts to form a three-dimensional image with the 60 fields, a sub-region is formed with 4 x 3 pixels to divide the image region of 1024 x 768 pixels into 256 x 256 sub-regions. For example, one space frame is formed by five space fields and a three 15 dimensional image is formed for one second by 12 space frames (60 space fields). The size of the sub-region may be changed. The number of divisions of the space at predetermined angles may be increased to improve the spatial resolution and the field angle. The number of fields per second may also be increased. 20 It is possible to display a precise three-dimensional dynamic image with smooth movements if the two-dimensional images are formed by 1024 x 768 pixels and the number of fields per second is 120. In order to achieve this, the CCD and LCD must have 1024 x 768 pixels and must be at a rate as high as 120 fields/sec. Those 25 requirements can be sufficiently met in view of the increasing number of pixels in recent CCDs and LCDs and CCD techniques adapted 75 to the non-interlace method. Referring to the execution of a display position converting process in the present embodiment, after converting two dimensional image information for 60 space fields having 5 different photographing and projecting directions for each pixel into two-dimensional image information in each of the 60 photographing and projecting directions, a display position converting process may be performed on the converted two dimensional image information, and the resultant information may 10 be converted into two-dimensional image information for 60 space fields having different photographing and projecting directions for each pixel. The configuration, operation, and effects of the present embodiment are otherwise the same as those of the first embodiment. 15 [Fifth Embodiment] A fifth embodiment of the invention will now be described with reference to Fig. 36. The present embodiment is an example of an application of the invention to a television conference system. Fig. 36 is an illustration of a configuration of a 20 television conference system of the present embodiment. The television conference system has two three-dimensional image photographing and display apparatuses 201 and 202. The two three-dimensional image photographing and display apparatuses 201 and 202 are connected to each other through a signal 2# transmission channel 203 for transmitting signals on a bi directional basis.

76 The three-dimensional image photographing and display apparatuses 201 and 202 are provided by integrating a three dimensional image photographing apparatus and a three dimensional image display apparatus. In each of the three 5 dimensional image photographing and display apparatuses 201 and 202, a half-mirror 211 is provided between the converging lens 12 and the pinhole member 13 of the three-dimensional image photographing apparatus shown in Fig. 1. The half-mirror 211 is provided such that the normal of a reflecting surface thereof is 10 at 45 degrees to the optical axis of the optical system of the three-dimensional image photographing apparatus. The pinhole member 23, the converging lens 22 and the LCD 21 of the three-dimensional image display apparatus are provided in the direction in which light from the converging lens 12 travels after 15 being reflected by the half-mirror 211. Although not shown, the circuit configuration of the three-dimensional image photographing and display apparatuses 201 and 202 includes circuits of both of a three-dimensional image photographing apparatus and a three-dimensional image display apparatus. The 20 three-dimensional image photographing apparatus and the three-dimensional image display apparatus included in the three-dimensional image photographing and display apparatuses 201 and 202 may have configurations according to any of the first through fourth embodiments. 5 An operation of the television conference system of the present embodiment will now be described. The three-dimensional 77 image photographing and display apparatuses 201 and 202 photograph and display three-dimensional images simultaneously. Specifically, photographing directions and projecting directions for two-dimensional image information are simultaneously 5 selected at the deflecting plate 11. Light which has entered the deflecting plate 11 passes through the converging lens 12, the half-mirror 211, the pinhole member 13 and the converging lens 14 to enter the CCD 15. Light from the LCD 21 passes through the converging lens 22, the pinhole member 23, the half-mirror 211 10 and the converging lens 12 to be projected by the deflecting plate 11. For example, let us assume that the three-dimensional image photographing and display apparatus 201 photographs an object 220 and that the three-dimensional image photographing and display 15 apparatus 202 photographs an object 230. The three-dimensional image photographing and display apparatus 201 performs signal processing on signals output by the CCD 15 to generate video signals. The video signals are transmitted to the three dimensional image photographing and display apparatus 202 through 20 the signal transmission channel 203. In the three-dimensional image photographing and display apparatus 202, two-dimensional image information is formed by the LCD 21 based on the transmitted video signals, and the two-dimensional image information is projected in directions selectedby the deflecting plate 11. Thus, 25 a three-dimensional image 221 of the object 220 is displayed by the three-dimensional image photographing and display apparatus 78 202. Similarly, the three-dimensional image photographing and display apparatus 202 performs signal processing on signals output by the CCD 15 to generate video signals. The video signals 5 are transmitted to the three-dimensional image photographing and display apparatus 201 through the signal transmission channel 203. In the three-dimensional image photographing and display apparatus 201, two-dimensional image information is formed by the LCD 21 based on the transmitted video signals, and the two 10 dimensional image information is projected in directions selected by the deflecting plate 11. Thus, a three-dimensional image 231 of the object 230 is displayed by the three-dimensional image photographing and display apparatus 201. When the objects 220 and 230 are both human-beings, the 15 person at the three-dimensional image photographing and display apparatus 201 can view a three-dimensional image of the person at the three-dimensional image photographing and display apparatus 202; and the person at the three-dimensional image photographing and display apparatus 202 can view a three 20 dimensional image of the person at the three-dimensional image photographing and display apparatus 201. Therefore, the telev-ision conference system of the present embodiment enables to hold a television conference with a close view of a three-dimensional image of each other's face. It is 25 therefore possible to hold a television conference with presence. Since the light entrance section of the system for photographing 79 a three-dimensional image also serves as the light exit section for displaying a three-dimensional image, a three-dimensional image of each other's face is displayed in front of the viewer. Therefore, the attendants can talk while looking in the eyes of 5 each other, which makes it possible to hold a television conference with increased presence. A television conference can be held between three or more locations by installing the three-dimensional image photographing and display apparatus of the present embodiment in 10 the three or more locations, interconnecting them through a signal transmission channel, and displaying video signals coming from other three-dimensional image photographing and display apparatuses by switching or synthesizing them at each three dimensional image photographing and display apparatus. 15 The configuration, operation, and effects of the present embodiment are otherwise the same as those of the first through fourth embodiments. The present invention is not limited to the above-described embodiments, and various modifications may be made. For example, 20 image pickup devices other than CCDs may be used as the means for photographing two-dimensional images in the three-dimensional image photographing apparatuses. Display devices other than LCDs may be used as the means for displaying two-dimensional images in the three-dimensional image display apparatuses. 25 The means for changing the direction of incident light in the three-dimensional image photographing apparatuses and 80 changing the direction of light exiting the three-dimensional image display apparatus is not limited to the means used in the above-described embodiments and, for example, rotary prisms, rotary mirrors and the like may be used. 5 As described above, according to the first three dimensional image photographing apparatus or the first three dimensional image photographing method of the invention, an object is photographed with the single photographing means to generate two-dimensional image information of the object, and the 10 photographing direction is sequentially changed. This is advantageous in that image information required for displaying a three-dimensional image of the object in a space can be acquired with a simple configuration and in that display of a stereoscopic dynamic image in a true sense can be achieved with a simple 15 configuration. According to the second three-dimensional image photographing apparatus or the second three-dimensional image photographing method of the invention, the photographing direction setting means is controlled so as to acquire two 20 dimensional image information with a low resolution that is lower than the resolution of the photographing means in every photographing direction that can be set, and the process of acquiring the two-dimensional image information is repeatedly performed while changing pixels to which a specific photographing -2 direction is assigned, to acquire two-dimensional image information with a resolution that is the same as the resolution 81 of the photographing means in every photographing directions that can be set. This is advantageous in that a three-dimensional dynamic image can be displayed which is worth viewing in terms of the cycle of image updates and resolution and in that display 5 of a stereoscopic dynamic image in a true sense can be achieved with a simple configuration. According to the three-dimensional image display apparatus or the three-dimensional image display method of the invention, the projecting direction setting means is controlled to project 10 two-dimensional image information with a low resolution that is lower than the resolution of the projecting means in every projecting direction that can be set, and the process of projecting the two-dimensional image information is repeatedly performed while changing pixels to which a specific projecting direction 15 is assigned, to display two-dimensional image information with a resolution that is the same as the resolution of the projecting means in every projecting directions that can be set. This is advantageous in that a three-dimensional dynamic image can be displayed which is worth viewing in terms of the cycle of image 20 updates and resolution and in that display of a stereoscopic dynamic image in a true sense can be achieved with a simple configuration. The three-dimensional image display position converting apparatus or the three-dimensional image display position 25 converting method of the invention is used in a system in which a plurality of pieces of two-dimensional image information of an 82 object obtained in different viewing directions are projected in directions associated with the respective viewing directions to display a three-dimensional image of the object in a space. A quantity of a movement of a position of the two-dimensional image 5 information in an in-plane direction required for moving a position of the three-dimensional image by a specific quantity of movement is identified based on information on the quantity of movement of the position of the three-dimensional image, the viewing directions or the projecting directions, and the position 10 of the two-dimensional image information is changed by the quantity of movement thus identified. As a result, it is easy to convert a position of the three-dimensional image of the object displayed in the space. It is apparent from the above description that the present 15 invention can be carried out in various modes and modifications. The present invention can be carried out in modes other than the above-described best modes for carrying out the invention within the scope of equivalence of the appended claims.

Claims

1. A three-dimensional image photographing apparatus for acquiring image information required for displaying a three 5 dimensional image of an object in a space, comprising: a single photographing means for photographing the object to generate two-dimensional image information of the object; and photographing direction control means for sequentially changing a photographing direction of the photographing means. 10

2. A three-dimensional image photographing apparatus according to Claim 1, wherein the photographing direction control means has deflecting means which is provided between the object and the photographing means and which deflects light by selecting 15 a direction for incident light.

3. A three-dimensional image photographing apparatus according to Claim 1, wherein the photographing direction control means has driving means for moving the photographing means. 20

4. A three-dimensional image photographing apparatus according to Claim 1, wherein the photographing direction control means has driving means for moving a part of an optical system provided between the object and the photographing means. 25

5. A three-dimensional image photographing apparatus 84 according to Claim 1, wherein the photographing direction control means sets a photographing direction that is the same for all pixels of the two-dimensional image information and sequentially changes the photographing direction. 5

6. A three-dimensional image photographing apparatus according to Claim 1, wherein the photographing direction control means sets a photographing direction that is different for each pixel of the two-dimensional image information and sequentially 10 changes the photographing direction for each pixel.

7. A method for photographing a three-dimensional image for acquiring image information required for displaying a three-dimensional image of an object in a space, the method 15 including: a photographing step for photographing the object with a single photographing means to generate two-dimensional image information of the object; and a photographing direction controlling step for 20 sequentially changing a photographing direction at the photographing step.

8. A method for photographing a three-dimensional image according to Claim 7, wherein the photographing direction 25 controlling step deflects light by selecting a direction for incident light between the object and the photographing means, 85 thereby changing the photographing direction.

9. A method for photographing a three-dimensional image according to Claim 7, wherein the photographing direction 5 controlling step changes the photographing direction by moving the photographing means.

10. A method for photographing a three-dimensional image according to Claim 7, wherein the photographing direction 10 controlling step changes the photographing direction by moving a part of an optical system provided between the object and the photographing means.

11. A method for photographing a three-dimensional image 15 according to Claim 7, wherein the photographing direction controlling step sets a photographing direction that is the same for all pixels of the two-dimensional image information and sequentially changes the photographing direction. 20

12. A method for photographing a three-dimensional image according to Claim 7, wherein the photographing direction controlling step sets a photographing direction that is different for each pixel of the two-dimensional image information and sequentially changes the photographing direction for each pixel. 25

13. A three-dimensional image photographing apparatus for 86 acquiring image information required for displaying a three dimensional image of an object in a space, comprising: photographing means for photographing the object to generate two-dimensional image information of the object; 5 photographing direction setting means for setting a photographing direction for the photographing means, capable of setting a different photographing direction for each pixel of the two-dimensional image information; and photographing control means for controlling the 10 photographing direction setting means to acquire two-dimensional image information with a low resolution that is lower than the resolution of the photographing means in every photographing direction that can be set, and for repeatedly performing a process of generating the two-dimensional image with the low resolution 15 while changing pixels to which a specific photographing direction is assigned, to acquire two-dimensional image information with the same resolution as the resolution of the photographing means in every photographing direction that can be set. 20

14. A three-dimensional image photographing apparatus according to Claim 13, wherein the photographing control means divides a two-dimensional image region into a plurality of sub-regions each having A pixels (A is an integer equal to or greater than 2) and sets each of all the photographing directions 25 that can be set for one pixel in each of the sub-regions to acquire the two-dimensional image information with the low resolution, 87 the low resolution being 1/A of the resolution of the photographing means, and repeats a process of generating the two-dimensional image information with the low resolution A times while changing pixels to which a specific photographing direction is assigned 5 in the sub-regions, to acquire the two-dimensional image information with the same resolution as the resolution of the photographing means.

15. A three-dimensional image photographing apparatus 10 according to Claim 14, wherein the photographing control means divides all of the photographing directions that can be set into groups each consisting of A photographing directions and repeatedly performs a process of generating the two-dimensional image information with the low resolution in the A photographing 15 directions to acquire two-dimensional image information with the low resolution in all of the photographing directions that can be set.

16. A three-dimensional image photographing apparatus 20 according to Claim 13, wherein the photographing direction setting means has defecting means which is provided between the object and the photographing means and which deflects light by selecting a direction for incident light. 25

17. A method for photographing a three-dimensional image for acquiring image information required for displaying a 88 three-dimensional image of an object in a space using: photographing means for photographing the object to generate two-dimensional image information of the object; and photographing direction setting means for setting a photographing 5 direction for the photographing means, capable of setting a different photographing direction for each pixel of the two dimensional image information, the method including: a first step for controlling the photographing direction setting means to acquire two-dimensional image information with 10 a low resolution that is lower than the resolution of the photographing means in every photographing direction that can be set; and a second step for repeatedly performing the first step while changing pixels to which a specific photographing direction is 15 assigned, to acquire two-dimensional image information with the same resolution as the resolution of the photographing means in every photographing direction that can be set.

18. A method for photographing a three-dimensional image 20 according to Claim 17, wherein the first step divides a two dimensional image region into a plurality of sub-regions each having A pixels (A is an integer equal to or greater than 2) and sets each of all the photographing directions that can be set for one pixel in each of the sub-regions to acquire the two-dimensional 25 image information with the low resolution, the low resolution being 1/A of the resolution of the photographing means, and the 89 second step repeats the first step A times while changing pixels to which a specific photographing directions is assigned in the sub-regions to acquire the two-dimensional image information with the same resolution as the resolution of the photographing means. 5

19. A method for photographing a three-dimensional image according to Claim 18, wherein the first step divides all of the photographing directions that can be set into groups each consisting of A photographing directions and repeatedly performs 10 a process of acquiring the two-dimensional image information with the low resolution in the A photographing directions to acquire two-dimensional image information with the low resolution in all of the photographing directions that can be set. 15

20. A three-dimensional image display apparatus for displaying a three-dimensional image of an object in a space by projecting a plurality of pieces of two-dimensional image information of the object obtained by viewing the object in different viewing directions, in projecting directions that are 20 associated with the respective viewing directions, comprising: projecting means for projecting the two-dimensional image information of the object; projecting direction setting means for setting a projecting direction for the projecting means, capable of setting 25 a different projecting direction for each pixel of the two dimensional image information; and 90 display control means for displaying a three-dimensional image with a low resolution by controlling the projecting direction setting means to project two-dimensional image information with a low resolution that is lower than the resolution 5 of the projecting means in every projecting direction that can be set, and for repeatedly performing a process of projecting the two-dimensional image information with the low resolution while changing pixels to which a specific projecting direction is assigned, to display a three-dimensional image with the same 10 resolution as the resolution of the projecting means.

21. A three-dimensional image display apparatus according to Claim 20, wherein the display control means divides a two dimensional image region into a plurality of sub-regions each 15 having A pixels (A is an integer equal to or greater than 2) and sets each of all the projecting directions that can be set for one pixel in each of the sub-regions to project the two-dimensional image information with the low resolution, the low resolution being 1/A of the resolution of the projecting means, thereby 20 displaying a three-dimensional image with a low resolution, and repeatedly performs a process of projecting the two-dimensional image information with the low resolution A times while changing pixels to which a specific projecting direction is assigned in the sub-regions, to display the three-dimensional image with the 25 same resolution as the resolution of the projecting means. 91

22. A three-dimensional image display apparatus according to Claim 21, wherein the display control means divides all of the projecting directions that can be set into groups each consisting of A projecting directions, and repeatedly performs a process of 5 projecting the two-dimensional image information with the low resolution in the A projecting directions to project the two dimensional image information with the low resolution in all of the projecting directions that can be set. 10

23. A three-dimensional image display apparatus according to Claim 20, wherein the projecting direction setting means has deflecting means for deflecting light by selecting a direction for exiting light. 15

24. A method for displaying a three-dimensional image for displaying a three-dimensional image of an object in a space by projecting a plurality of pieces of two-dimensional image information of the object obtained by viewing the object in different viewing directions, in projecting directions that are 20 associated with the respective viewing directions, using projecting means for projecting the two-dimensional image information of the object and projecting direction setting means for setting a projecting direction for the projecting means, capable of setting a different photographing direction for each 25 pixel of the two-dimensional image information, the method including: 92 a first step for controlling the projecting direction setting means to acquire two-dimensional image information with a low resolution that is lower than the resolution of the projecting means in every projecting direction that can be set, 5 thereby displaying a three-dimensional image with a low resolution; and a second step for repeatedly performing the first step while changing pixels to which a specific projecting direction is assigned, to display a three-dimensional image with the same 10 resolution as the resolution of the projecting means.

25. A method for displaying a three-dimensional image according to Claim 24, wherein the first step divides a two dimensional image region into a plurality of sub-regions each 15 having A pixels (A is an integer equal to or greater than 2) and sets each of all the projecting directions that can be set for one pixel in each of the sub-regions to project the two-dimensional image information with the low resolution, the low resolution being 1/A of the resolution of the projecting means, thereby 20 displaying the three-dimensional image with the low resolution, and the second step repeatedly performs the first step A times while changing pixels to which a specific projecting direction is assigned in the sub-regions to display a three-dimensional image with the same resolution as the resolution of the projecting 25 means. 93

26. A method for displaying a three-dimensional image according to Claim 25, wherein the first step divides all of the projecting directions that can be set into groups each consisting of A photographing directions, and repeatedly performs a process 5 of projecting the two-dimensional image information with the low resolution in the A projecting directions to project the two dimensional image information with the low resolution in all of the projecting directions that can be set. 10

27. A three-dimensional image display position converting apparatus used in a system for displaying a three-dimensional image of an object in a space by projecting a plurality of pieces of two-dimensional image information of the object obtained by viewing the object in different viewing directions, in projecting 15 directions that are associated with the respective viewing directions, the apparatus converting the position of the three-dimensional image of the object displayed in the space and comprising: quantity-of-movement calculating means for identifying a 20 quantity of a movement of a position of the two-dimensional image information in a direction in the plane thereof that is required for moving a position of the three-dimensional image by a specific quantity of movement, based on information on the quantity of movement of the position of the three-dimensional image and the 25 viewing directions or the projecting directions; and position changing means for changing the position of the 94 two-dimensional image information by the quantity of movement identified by the quantity-of-movement calculating means.

28. A three-dimensional image display position converting 5 apparatus according to Claim 27, wherein the quantity-of -movement calculating means identifies the quantity of movement of the position of the two-dimensional image information as a value proportionate to "b" which is expressed by b = a x tanOi where "a" represents the quantity of movement of the three-dimensional 10 image and Oi represents the viewing directions or the projecting directions.

29. A three-dimensional image display position converting apparatus according to Claim 27, wherein the position changing 15 means has: storage means for storing the two-dimensional image information; and address control means for changing the position of the two-dimensional image information by controlling write addresses for writing the information in the storage means and read addresses for reading the information from the storage means. 20

30. A three-dimensional image display position converting apparatus according to Claim 27, the apparatus being provided in a three-dimensional image photographing apparatus for photographing an object in a plurality of viewing directions to 25 generate a plurality of pieces of two-dimensional image information of the object in different viewing directions. 95

31. A three-dimensional image display position converting apparatus according to Claim 27, the apparatus being provided in a three-dimensional image display apparatus for displaying a 5 three-dimensional image of an object in a space by projecting a plurality of pieces of two-dimensional image information of the object obtained by viewing the object in different viewing directions, in projecting directions that are associated with the respective viewing directions. 10

32. A method for converting a display position of a three-dimensional image which is used in a system for displaying a three-dimensional image of an object in a space by projecting a plurality of pieces of two-dimensional image information of the 15 object obtained by viewing the object in different viewing directions, in projecting directions that are associated with the respective viewing directions, and which is used for converting the position of the three-dimensional image of the object in the space, the method including: 20 a quantity-of-movement calculating step for identifying a quantity of a movement of a position of the two-dimensional image information in a direction in the plane thereof that is required for moving a position of the three-dimensional image by a specific quantity of movement, based on information on the quantity of 25 movement of the position of the three-dimensional image and the viewing directions or the projecting directions; and 96 a position changing step for changing the position of the two-dimensional image information by the quantity of movement identified by the quantity-of-movement calculating step. 5

33. A method for converting the display position of a three-dimensional image according to Claim 32, wherein the quantity-of-movement calculating step identifies the quantity of movement of the position of the two-dimensional image information as a value proportionate to "b" which is expressed by b = a x tan~i 10 where "a" represents the quantity of movement of the three dimensional image and Oi represents the viewing directions or projecting directions.

34. A method for converting the display position of a 15 three-dimensional image according to Claim 32, the position changing step changes the position of the two-dimensional image information by controlling write address for storing information in storage means for storing the two-dimensional image information and read address for reading the information from the 20 storage means.